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96625152 = 2932131613
BaseRepresentation
bin1011100001001…
…10001000000000
320201211001210100
411300212020000
5144214001102
613331002400
72252204661
oct560461000
9221731710
1096625152
114a5a69a8
1228439400
1317031660
14cb93368
158739a1c
hex5c26200

96625152 has 120 divisors (see below), whose sum is σ = 300504204. Its totient is φ = 29712384.

The previous prime is 96625147. The next prime is 96625157. The reversal of 96625152 is 25152669.

It is an interprime number because it is at equal distance from previous prime (96625147) and next prime (96625157).

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 1679616 = 9744^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (96625157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59098 + ... + 60710.

Almost surely, 296625152 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 96625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150252102).

96625152 is an abundant number, since it is smaller than the sum of its proper divisors (203879052).

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

96625152 is a wasteful number, since it uses less digits than its factorization.

96625152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1631 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 96625152 is about 9829.8093572561. The cubic root of 96625152 is about 458.8774645495.

The spelling of 96625152 in words is "ninety-six million, six hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1613 1664 1872 2304 2496 3226 3328 3744 4608 4839 4992 6452 6656 7488 9678 9984 12904 14517 14976 19356 19968 20969 25808 29034 29952 38712 41938 51616 58068 59904 62907 77424 83876 103232 116136 125814 154848 167752 188721 206464 232272 251628 309696 335504 377442 412928 464544 503256 619392 671008 754884 825856 929088 1006512 1238784 1342016 1509768 1858176 2013024 2477568 2684032 3019536 3716352 4026048 5368064 6039072 7432704 8052096 10736128 12078144 16104192 24156288 32208384 48312576 96625152