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125251480 = 23589151233
BaseRepresentation
bin1110111011100…
…10111110011000
322201200102201201
413131302332120
5224031021410
620232323544
73050422444
oct735627630
9281612651
10125251480
1164779322
1235b435b4
131cc45303
14128c5824
15aee183a
hex7772f98

125251480 has 64 divisors (see below), whose sum is σ = 288100800. Its totient is φ = 48998400.

The previous prime is 125251471. The next prime is 125251487. The reversal of 125251480 is 84152521.

It is a super-4 number, since 4×1252514804 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125251487) 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 15 ways as a sum of consecutive naturals, for example, 537444 + ... + 537676.

It is an arithmetic number, because the mean of its divisors is an integer number (4501575).

Almost surely, 2125251480 is an apocalyptic number.

125251480 is a gapful number since it is divisible by the number (10) 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 125251480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144050400).

125251480 is an abundant number, since it is smaller than the sum of its proper divisors (162849320).

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

125251480 is a wasteful number, since it uses less digits than its factorization.

125251480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 125251480 is about 11191.5807641280. The cubic root of 125251480 is about 500.3350820565.

The spelling of 125251480 in words is "one hundred twenty-five million, two hundred fifty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 89 151 178 233 302 356 445 466 604 712 755 890 932 1165 1208 1510 1780 1864 2330 3020 3560 4660 6040 9320 13439 20737 26878 35183 41474 53756 67195 70366 82948 103685 107512 134390 140732 165896 175915 207370 268780 281464 351830 414740 537560 703660 829480 1407320 3131287 6262574 12525148 15656435 25050296 31312870 62625740 125251480