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97820364 = 223291811553
BaseRepresentation
bin1011101010010…
…01111011001100
320211001210022110
411311021323030
5200020222424
613412344020
72265313365
oct565117314
9224053273
1097820364
1150242984
1228915010
131735c695
14cdc4b6c
1588c3c29
hex5d49ecc

97820364 has 48 divisors (see below), whose sum is σ = 237575520. Its totient is φ = 31288320.

The previous prime is 97820339. The next prime is 97820381. The reversal of 97820364 is 46302879.

It is a super-2 number, since 2×978203642 = 19137647226184992, which contains 22 as substring.

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, 62212 + ... + 63764.

It is an arithmetic number, because the mean of its divisors is an integer number (4949490).

Almost surely, 297820364 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 97820364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118787760).

97820364 is an abundant number, since it is smaller than the sum of its proper divisors (139755156).

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

97820364 is a wasteful number, since it uses less digits than its factorization.

97820364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 97820364 is about 9890.4177869289. The cubic root of 97820364 is about 460.7617561155.

The spelling of 97820364 in words is "ninety-seven million, eight hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 181 348 362 543 724 1086 1553 2172 3106 4659 5249 6212 9318 10498 15747 18636 20996 31494 45037 62988 90074 135111 180148 270222 281093 540444 562186 843279 1124372 1686558 3373116 8151697 16303394 24455091 32606788 48910182 97820364