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125104452 = 223112389463
BaseRepresentation
bin1110111010011…
…11000101000100
322201101222001020
413131033011010
5224011320302
620225231140
73046241004
oct735170504
9281358036
10125104452
1164688910
1235a924b0
131cbc3405
1412888004
15aeb2ebc
hex774f144

125104452 has 96 divisors (see below), whose sum is σ = 336752640. Its totient is φ = 35777280.

The previous prime is 125104409. The next prime is 125104453. The reversal of 125104452 is 254401521.

It is a super-2 number, since 2×1251044522 = 31302247820440608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125104453) 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, 269973 + ... + 270435.

It is an arithmetic number, because the mean of its divisors is an integer number (3507840).

Almost surely, 2125104452 is an apocalyptic number.

125104452 is a gapful number since it is divisible by the number (12) 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 125104452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168376320).

125104452 is an abundant number, since it is smaller than the sum of its proper divisors (211648188).

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

125104452 is a wasteful number, since it uses less digits than its factorization.

125104452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 125104452 is about 11185.0101475144. The cubic root of 125104452 is about 500.1392305594.

Adding to 125104452 its reverse (254401521), we get a palindrome (379505973).

The spelling of 125104452 in words is "one hundred twenty-five million, one hundred four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 89 92 132 138 178 253 267 276 356 463 506 534 759 926 979 1012 1068 1389 1518 1852 1958 2047 2778 2937 3036 3916 4094 5093 5556 5874 6141 8188 10186 10649 11748 12282 15279 20372 21298 22517 24564 30558 31947 41207 42596 45034 61116 63894 67551 82414 90068 117139 123621 127788 135102 164828 234278 247242 270204 351417 453277 468556 494484 702834 906554 947761 1359831 1405668 1813108 1895522 2719662 2843283 3791044 5439324 5686566 10425371 11373132 20850742 31276113 41701484 62552226 125104452