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232948608 = 273653929
BaseRepresentation
bin11011110001010…
…00001110000000
3121020100000102020
431320220032000
5434113323413
635040521440
75526013314
oct1570501600
9536300366
10232948608
1110a547812
1266020280
1339352419
1422d1bb44
15156b6c23
hexde28380

232948608 has 64 divisors (see below), whose sum is σ = 620384400. Its totient is φ = 77447168.

The previous prime is 232948589. The next prime is 232948613. The reversal of 232948608 is 806849232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 232948608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250288 + ... + 251216.

Almost surely, 2232948608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310192200).

232948608 is an abundant number, since it is smaller than the sum of its proper divisors (387435792).

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

232948608 is an equidigital number, since it uses as much as digits as its factorization.

232948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 232948608 is about 15262.6540287068. The cubic root of 232948608 is about 615.2997045409.

The spelling of 232948608 in words is "two hundred thirty-two million, nine hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 653 929 1306 1858 1959 2612 2787 3716 3918 5224 5574 7432 7836 10448 11148 14864 15672 20896 22296 29728 31344 41792 44592 59456 62688 83584 89184 118912 125376 178368 250752 356736 606637 1213274 1819911 2426548 3639822 4853096 7279644 9706192 14559288 19412384 29118576 38824768 58237152 77649536 116474304 232948608