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96642315 = 3557111033
BaseRepresentation
bin1011100001010…
…10010100001011
320201211221100000
411300222110023
5144220023230
613331214043
72252306010
oct560522413
9221757300
1096642315
114a608890
1228447323
1317039403
14cb99707
15873eb60
hex5c2a50b

96642315 has 96 divisors (see below), whose sum is σ = 216792576. Its totient is φ = 40124160.

The previous prime is 96642277. The next prime is 96642349. The reversal of 96642315 is 51324669.

It is a happy number.

96642315 is a `hidden beast` number, since 9 + 6 + 642 + 3 + 1 + 5 = 666.

It is not a de Polignac number, because 96642315 - 212 = 96638219 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 96642315.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93039 + ... + 94071.

It is an arithmetic number, because the mean of its divisors is an integer number (2258256).

Almost surely, 296642315 is an apocalyptic number.

96642315 is an abundant number, since it is smaller than the sum of its proper divisors (120150261).

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

96642315 is a wasteful number, since it uses less digits than its factorization.

96642315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 96642315 is about 9830.6823262681. The cubic root of 96642315 is about 458.9046322434.

It can be divided in two parts, 96 and 642315, that added together give a triangular number (642411 = T1133).

The spelling of 96642315 in words is "ninety-six million, six hundred forty-two thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 243 297 315 385 405 495 567 693 891 945 1033 1155 1215 1485 1701 2079 2673 2835 3099 3465 4455 5165 6237 7231 8505 9297 10395 11363 13365 15495 18711 21693 27891 31185 34089 36155 46485 56815 65079 79541 83673 93555 102267 108465 139455 170445 195237 238623 251019 306801 325395 397705 418365 511335 585711 715869 920403 976185 1193115 1255095 1534005 1757133 2147607 2761209 2928555 3579345 4602015 6442821 8785665 10738035 13806045 19328463 32214105 96642315