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125157792 = 2535872221
BaseRepresentation
bin1110111010111…
…00000110100000
322201111200012210
413131130012200
5224020022132
620230322120
73046552344
oct735340640
9281450183
10125157792
11647149a1
1235ab9340
131cc11786
141289d624
15aec3bcc
hex775c1a0

125157792 has 48 divisors (see below), whose sum is σ = 329247072. Its totient is φ = 41629440.

The previous prime is 125157761. The next prime is 125157797. The reversal of 125157792 is 297751521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 125157792.

It is not an unprimeable number, because it can be changed into a prime (125157797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55242 + ... + 57462.

It is an arithmetic number, because the mean of its divisors is an integer number (6859314).

Almost surely, 2125157792 is an apocalyptic number.

125157792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125157792 is an abundant number, since it is smaller than the sum of its proper divisors (204089280).

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

125157792 is a wasteful number, since it uses less digits than its factorization.

125157792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2813 counting only the distinct ones).

The product of its digits is 44100, while the sum is 39.

The square root of 125157792 is about 11187.3943346965. The cubic root of 125157792 is about 500.2103008680.

The spelling of 125157792 in words is "one hundred twenty-five million, one hundred fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 587 1174 1761 2221 2348 3522 4442 4696 6663 7044 8884 9392 13326 14088 17768 18784 26652 28176 35536 53304 56352 71072 106608 213216 1303727 2607454 3911181 5214908 7822362 10429816 15644724 20859632 31289448 41719264 62578896 125157792