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523152032 = 251331113359
BaseRepresentation
bin11111001011101…
…010101010100000
31100110101212200012
4133023222222200
52032411331112
6123524544052
715651501404
oct3713525240
91313355605
10523152032
1124933a957
12127252028
1384500120
144d6a1104
1530ddd022
hex1f2eaaa0

523152032 has 96 divisors (see below), whose sum is σ = 1158312960. Its totient is φ = 230952960.

The previous prime is 523152017. The next prime is 523152053. The reversal of 523152032 is 230251325.

It is a junction number, because it is equal to n+sod(n) for n = 523151989 and 523152007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457069 + ... + 1457427.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2523152032 is an apocalyptic number.

523152032 is a gapful number since it is divisible by the number (52) 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 523152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

523152032 is an abundant number, since it is smaller than the sum of its proper divisors (635160928).

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

523152032 is a wasteful number, since it uses less digits than its factorization.

523152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 523152032 is about 22872.5169581312. The cubic root of 523152032 is about 805.7666818460.

The spelling of 523152032 in words is "five hundred twenty-three million, one hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 113 124 208 226 248 359 403 416 452 496 718 806 904 992 1436 1469 1612 1808 2872 2938 3224 3503 3616 4667 5744 5876 6448 7006 9334 11129 11488 11752 12896 14012 18668 22258 23504 28024 37336 40567 44516 45539 47008 56048 74672 81134 89032 91078 112096 144677 149344 162268 178064 182156 289354 324536 356128 364312 527371 578708 649072 728624 1054742 1157416 1257577 1298144 1457248 2109484 2314832 2515154 4218968 4629664 5030308 8437936 10060616 16348501 16875872 20121232 32697002 40242464 65394004 130788008 261576016 523152032