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40633984 = 27317453
BaseRepresentation
bin1001101100000…
…0011010000000
32211110102100101
42123000122000
540400241414
64010532144
71002245266
oct233003200
984412311
1040633984
1120a33a06
1211737054
1385592a1
14557a436
153879a74
hex26c0680

40633984 has 16 divisors (see below), whose sum is σ = 80950770. Its totient is φ = 20316928.

The previous prime is 40633937. The next prime is 40634003. The reversal of 40633984 is 48933604.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 18731584 = 4680^2 + 4328^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×406339842 = 3302241311424512, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158599 + ... + 158854.

Almost surely, 240633984 is an apocalyptic number.

It is an amenable number.

40633984 is a deficient number, since it is larger than the sum of its proper divisors (40316786).

40633984 is an equidigital number, since it uses as much as digits as its factorization.

40633984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317467 (or 317455 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 40633984 is about 6374.4791159749. The cubic root of 40633984 is about 343.7925556571.

The spelling of 40633984 in words is "forty million, six hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 317453 634906 1269812 2539624 5079248 10158496 20316992 40633984