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96602016 = 2537294957
BaseRepresentation
bin1011100001000…
…00011110100000
320201202220001110
411300200132200
5144212231031
613330303320
72252050350
oct560403640
9221686043
1096602016
114a590585
1228427b40
1317023c74
14cb88b60
158732c46
hex5c207a0

96602016 has 96 divisors (see below), whose sum is σ = 299859840. Its totient is φ = 26643456.

The previous prime is 96601997. The next prime is 96602029. The reversal of 96602016 is 61020669.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17010 + ... + 21966.

It is an arithmetic number, because the mean of its divisors is an integer number (3123540).

Almost surely, 296602016 is an apocalyptic number.

96602016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96602016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149929920).

96602016 is an abundant number, since it is smaller than the sum of its proper divisors (203257824).

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

96602016 is a wasteful number, since it uses less digits than its factorization.

96602016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 96602016 is about 9828.6324582823. The cubic root of 96602016 is about 458.8408369694.

The spelling of 96602016 in words is "ninety-six million, six hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 4957 6496 9744 9914 14871 19488 19828 29742 34699 39656 59484 69398 79312 104097 118968 138796 143753 158624 208194 237936 277592 287506 416388 431259 475872 555184 575012 832776 862518 1006271 1110368 1150024 1665552 1725036 2012542 2300048 3018813 3331104 3450072 4025084 4600096 6037626 6900144 8050168 12075252 13800288 16100336 24150504 32200672 48301008 96602016