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125722464 = 2537613067
BaseRepresentation
bin1110111111001…
…01111101100000
322202120100210120
413133211331200
5224141104324
620250400240
73054423540
oct737457540
9282510716
10125722464
1164a7016a
1236130080
132007b7ba
14129a9320
15b086179
hex77e5f60

125722464 has 96 divisors (see below), whose sum is σ = 383475456. Its totient is φ = 35320320.

The previous prime is 125722427. The next prime is 125722483. The reversal of 125722464 is 464227521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1257224642 = 31612275908462592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 39459 + ... + 42525.

It is an arithmetic number, because the mean of its divisors is an integer number (3994536).

Almost surely, 2125722464 is an apocalyptic number.

125722464 is a gapful number since it is divisible by the number (14) 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 125722464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191737728).

125722464 is an abundant number, since it is smaller than the sum of its proper divisors (257752992).

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

125722464 is a wasteful number, since it uses less digits than its factorization.

125722464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3140 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 125722464 is about 11212.6029092267. The cubic root of 125722464 is about 500.9614354322.

Adding to 125722464 its reverse (464227521), we get a palindrome (589949985).

The spelling of 125722464 in words is "one hundred twenty-five million, seven hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3067 3416 5124 5856 6134 6832 9201 10248 12268 13664 18402 20496 21469 24536 36804 40992 42938 49072 64407 73608 85876 98144 128814 147216 171752 187087 257628 294432 343504 374174 515256 561261 687008 748348 1030512 1122522 1309609 1496696 2061024 2245044 2619218 2993392 3928827 4490088 5238436 5986784 7857654 8980176 10476872 15715308 17960352 20953744 31430616 41907488 62861232 125722464