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2038051125 = 34531129631
BaseRepresentation
bin111100101111010…
…0011000100110101
312021000221201120000
41321132203010311
513133220114000
6534122301513
7101335102005
oct17136430465
95230851500
102038051125
11956476a80
1248a657899
1326630ab16
14154962005
15bddcc000
hex797a3135

2038051125 has 160 divisors (see below), whose sum is σ = 4294667520. Its totient is φ = 952560000.

The previous prime is 2038051123. The next prime is 2038051129. The reversal of 2038051125 is 5211508302.

It is a happy number.

It is not a de Polignac number, because 2038051125 - 21 = 2038051123 is a prime.

It is a super-2 number, since 2×20380511252 = 8307304776227531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038051123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3229560 + ... + 3230190.

It is an arithmetic number, because the mean of its divisors is an integer number (26841672).

Almost surely, 22038051125 is an apocalyptic number.

2038051125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2038051125 is an abundant number, since it is smaller than the sum of its proper divisors (2256616395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2038051125 is a wasteful number, since it uses less digits than its factorization.

2038051125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2038051125 is about 45144.7795985317. The cubic root of 2038051125 is about 1267.8611414465.

Adding to 2038051125 its reverse (5211508302), we get a palindrome (7249559427).

The spelling of 2038051125 in words is "two billion, thirty-eight million, fifty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 29 33 45 55 75 81 87 99 125 135 145 165 225 261 275 297 319 375 405 435 495 631 675 725 783 825 891 957 1125 1305 1375 1485 1595 1893 2025 2175 2349 2475 2871 3155 3375 3625 3915 4125 4455 4785 5679 6525 6941 7425 7975 8613 9465 10125 10875 11745 12375 14355 15775 17037 18299 19575 20823 22275 23925 25839 28395 32625 34705 37125 39875 43065 47325 51111 54897 58725 62469 71775 78875 85185 91495 97875 104115 111375 119625 129195 141975 164691 173525 187407 201289 215325 236625 255555 274485 293625 312345 358875 425925 457475 494073 520575 562221 603867 645975 709875 823455 867625 937035 1006445 1076625 1277775 1372425 1482219 1561725 1811601 2129625 2287375 2470365 2602875 2811105 3019335 3229875 4117275 4685175 5032225 5434803 6388875 6862125 7411095 7808625 9058005 12351825 14055525 15096675 16304409 20586375 23425875 25161125 27174015 37055475 45290025 61759125 70277625 75483375 81522045 135870075 185277375 226450125 407610225 679350375 2038051125