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97978368 = 211337431
BaseRepresentation
bin1011101011100…
…00100000000000
320211100211001110
411311300200000
5200040301433
613420003320
72266542135
oct565604000
9224324043
1097978368
1150340664
1228990540
13173b6587
14d02658c
158905963
hex5d70800

97978368 has 96 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 31703040.

The previous prime is 97978343. The next prime is 97978403. The reversal of 97978368 is 86387979.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227113 + ... + 227543.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 297978368 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 97978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

97978368 is an abundant number, since it is smaller than the sum of its proper divisors (170915712).

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

97978368 is a wasteful number, since it uses less digits than its factorization.

97978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 473 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 57.

The square root of 97978368 is about 9898.4022953202. The cubic root of 97978368 is about 461.0097039348.

It can be divided in two parts, 97978 and 368, that added together give a triangular number (98346 = T443).

The spelling of 97978368 in words is "ninety-seven million, nine hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 431 444 512 592 768 862 888 1024 1184 1293 1536 1724 1776 2048 2368 2586 3072 3448 3552 4736 5172 6144 6896 7104 9472 10344 13792 14208 15947 18944 20688 27584 28416 31894 37888 41376 47841 55168 56832 63788 75776 82752 95682 110336 113664 127576 165504 191364 220672 227328 255152 331008 382728 441344 510304 662016 765456 882688 1020608 1324032 1530912 2041216 2648064 3061824 4082432 6123648 8164864 12247296 16329728 24494592 32659456 48989184 97978368