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97923408 = 24311191971
BaseRepresentation
bin1011101011000…
…11000101010000
320211021000122220
411311203011100
5200032022113
613414501040
72266222662
oct565430520
9224230586
1097923408
1150303340
1228964780
131739755b
14d010532
1588e4523
hex5d63150

97923408 has 80 divisors (see below), whose sum is σ = 277696512. Its totient is φ = 29488000.

The previous prime is 97923379. The next prime is 97923431. The reversal of 97923408 is 80432979.

It is a self number, because there is not a number n which added to its sum of digits gives 97923408.

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, 100363 + ... + 101333.

Almost surely, 297923408 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 97923408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138848256).

97923408 is an abundant number, since it is smaller than the sum of its proper divisors (179773104).

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

97923408 is a wasteful number, since it uses less digits than its factorization.

97923408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 97923408 is about 9895.6257002779. The cubic root of 97923408 is about 460.9234881953.

The spelling of 97923408 in words is "ninety-seven million, nine hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 191 264 382 528 573 764 971 1146 1528 1942 2101 2292 2913 3056 3884 4202 4584 5826 6303 7768 8404 9168 10681 11652 12606 15536 16808 21362 23304 25212 32043 33616 42724 46608 50424 64086 85448 100848 128172 170896 185461 256344 370922 512688 556383 741844 1112766 1483688 2040071 2225532 2967376 4080142 4451064 6120213 8160284 8902128 12240426 16320568 24480852 32641136 48961704 97923408