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97770016 = 2583131281
BaseRepresentation
bin1011101001111…
…01101000100000
320210222020020201
411310331220200
5200012120031
613411314544
72265013531
oct564755040
9223866221
1097770016
1150209073
12288aba54
13173427a6
14cdb0688
1588b3d61
hex5d3da20

97770016 has 48 divisors (see below), whose sum is σ = 196989408. Its totient is φ = 47756800.

The previous prime is 97769989. The next prime is 97770031. The reversal of 97770016 is 61007779.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 347796 + ... + 348076.

It is an arithmetic number, because the mean of its divisors is an integer number (4103946).

Almost surely, 297770016 is an apocalyptic number.

It is an amenable number.

97770016 is an abundant number, since it is smaller than the sum of its proper divisors (99219392).

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

97770016 is a wasteful number, since it uses less digits than its factorization.

97770016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 37.

The square root of 97770016 is about 9887.8721674585. The cubic root of 97770016 is about 460.6826914124.

The spelling of 97770016 in words is "ninety-seven million, seven hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 16 32 83 131 166 262 281 332 524 562 664 1048 1124 1328 2096 2248 2656 4192 4496 8992 10873 21746 23323 36811 43492 46646 73622 86984 93292 147244 173968 186584 294488 347936 373168 588976 746336 1177952 3055313 6110626 12221252 24442504 48885008 97770016