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2039726172 = 22311127281433
BaseRepresentation
bin111100110010011…
…1100000001011100
312021011002211021210
41321210330001130
513134132214142
6534222224420
7101355246351
oct17144740134
95234084253
102039726172
11957410510
1248b125110
13266776383
14154c7a628
15be10d49c
hex7993c05c

2039726172 has 96 divisors (see below), whose sum is σ = 5263663104. Its totient is φ = 609638400.

The previous prime is 2039726137. The next prime is 2039726177. The reversal of 2039726172 is 2716279302.

It is a self number, because there is not a number n which added to its sum of digits gives 2039726172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039726177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4710468 + ... + 4710900.

It is an arithmetic number, because the mean of its divisors is an integer number (54829824).

Almost surely, 22039726172 is an apocalyptic number.

2039726172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2039726172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631831552).

2039726172 is an abundant number, since it is smaller than the sum of its proper divisors (3223936932).

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

2039726172 is a wasteful number, since it uses less digits than its factorization.

2039726172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2039726172 is about 45163.3277339038. The cubic root of 2039726172 is about 1268.2083923765.

The spelling of 2039726172 in words is "two billion, thirty-nine million, seven hundred twenty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 281 381 433 508 562 762 843 866 1124 1299 1397 1524 1686 1732 2598 2794 3091 3372 4191 4763 5196 5588 6182 8382 9273 9526 12364 14289 16764 18546 19052 28578 35687 37092 54991 57156 71374 107061 109982 121673 142748 164973 214122 219964 243346 329946 365019 392557 428244 486692 604901 659892 730038 785114 1177671 1209802 1338403 1460076 1570228 1814703 2355342 2419604 2676806 3629406 4015209 4710684 5353612 7258812 8030418 15452471 16060836 30904942 46357413 61809884 92714826 169977181 185429652 339954362 509931543 679908724 1019863086 2039726172