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152330752 = 297192237
BaseRepresentation
bin10010001010001…
…10001000000000
3101121122012111201
421011012020000
5302444041002
623040550544
73526534660
oct1105061000
9347565451
10152330752
1178a94392
1243022454
1325736a52
14163341a0
15d590087
hex9146200

152330752 has 80 divisors (see below), whose sum is σ = 366315840. Its totient is φ = 61820928.

The previous prime is 152330747. The next prime is 152330767. The reversal of 152330752 is 257033251.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 152330752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66978 + ... + 69214.

It is an arithmetic number, because the mean of its divisors is an integer number (4578948).

Almost surely, 2152330752 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 152330752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183157920).

152330752 is an abundant number, since it is smaller than the sum of its proper divisors (213985088).

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

152330752 is an equidigital number, since it uses as much as digits as its factorization.

152330752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 152330752 is about 12342.2344816488. The cubic root of 152330752 is about 534.0671454421.

The spelling of 152330752 in words is "one hundred fifty-two million, three hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1064 1216 1792 2128 2237 2432 3584 4256 4474 4864 8512 8948 9728 15659 17024 17896 31318 34048 35792 42503 62636 68096 71584 85006 125272 143168 170012 250544 286336 297521 340024 501088 572672 595042 680048 1002176 1145344 1190084 1360096 2004352 2380168 2720192 4008704 4760336 5440384 8017408 9520672 10880768 19041344 21761536 38082688 76165376 152330752