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96816552 = 2337319619
BaseRepresentation
bin1011100010101…
…00110110101000
320202011210100020
411301110312220
5144241112202
613335040440
72253633000
oct561246650
9222153306
1096816552
114a717788
1228510120
131709a801
14cc03000
1587765bc
hex5c54da8

96816552 has 128 divisors (see below), whose sum is σ = 297600000. Its totient is φ = 26163648.

The previous prime is 96816527. The next prime is 96816553. The reversal of 96816552 is 25561869.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (96816553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156099 + ... + 156717.

It is an arithmetic number, because the mean of its divisors is an integer number (2325000).

Almost surely, 296816552 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 96816552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800000).

96816552 is an abundant number, since it is smaller than the sum of its proper divisors (200783448).

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

96816552 is a wasteful number, since it uses less digits than its factorization.

96816552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 650 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 96816552 is about 9839.5402331613. The cubic root of 96816552 is about 459.1802539596.

The spelling of 96816552 in words is "ninety-six million, eight hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 343 392 399 456 532 588 619 686 798 931 1029 1064 1176 1238 1372 1596 1857 1862 2058 2476 2744 2793 3192 3714 3724 4116 4333 4952 5586 6517 7428 7448 8232 8666 11172 11761 12999 13034 14856 17332 19551 22344 23522 25998 26068 30331 34664 35283 39102 47044 51996 52136 60662 70566 78204 82327 90993 94088 103992 121324 141132 156408 164654 181986 212317 242648 246981 282264 329308 363972 424634 493962 576289 636951 658616 727944 849268 987924 1152578 1273902 1698536 1728867 1975848 2305156 2547804 3457734 4034023 4610312 5095608 6915468 8068046 12102069 13830936 16136092 24204138 32272184 48408276 96816552