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97041664 = 281971281
BaseRepresentation
bin1011100100010…
…11110100000000
320202121020010201
411302023310000
5144320313124
613343534544
72255561206
oct562136400
9222536121
1097041664
114a860925
12285ba454
1317149105
14cc61076
1587bd144
hex5c8bd00

97041664 has 72 divisors (see below), whose sum is σ = 207506880. Its totient is φ = 45158400.

The previous prime is 97041619. The next prime is 97041689. The reversal of 97041664 is 46614079.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345204 + ... + 345484.

It is an arithmetic number, because the mean of its divisors is an integer number (2882040).

Almost surely, 297041664 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 97041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103753440).

97041664 is an abundant number, since it is smaller than the sum of its proper divisors (110465216).

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

97041664 is a wasteful number, since it uses less digits than its factorization.

97041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 97041664 is about 9850.9727438462. The cubic root of 97041664 is about 459.5358645526.

The spelling of 97041664 in words is "ninety-seven million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 256 281 284 304 562 568 608 1124 1136 1216 1349 2248 2272 2432 2698 4496 4544 4864 5339 5396 8992 9088 10678 10792 17984 18176 19951 21356 21584 35968 39902 42712 43168 71936 79804 85424 86336 159608 170848 172672 319216 341696 345344 379069 638432 683392 758138 1276864 1366784 1516276 2553728 3032552 5107456 6065104 12130208 24260416 48520832 97041664