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38995768 = 2372313209
BaseRepresentation
bin1001010011000…
…0011100111000
32201101012010201
42110300130320
534440331033
63511451544
7652313200
oct224603470
981335121
1038995768
1120015109
1211086bb4
138104726
145271400
15365447d
hex2530738

38995768 has 48 divisors (see below), whose sum is σ = 87825600. Its totient is φ = 16168320.

The previous prime is 38995763. The next prime is 38995769. The reversal of 38995768 is 86759983.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38995763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10548 + ... + 13756.

It is an arithmetic number, because the mean of its divisors is an integer number (1829700).

Almost surely, 238995768 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 38995768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43912800).

38995768 is an abundant number, since it is smaller than the sum of its proper divisors (48829832).

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

38995768 is a wasteful number, since it uses less digits than its factorization.

38995768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3249 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The square root of 38995768 is about 6244.6591580326. The cubic root of 38995768 is about 339.1088775271.

The spelling of 38995768 in words is "thirty-eight million, nine hundred ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1736 3038 3209 6076 6418 12152 12836 22463 25672 44926 89852 99479 157241 179704 198958 314482 397916 628964 696353 795832 1257928 1392706 2785412 4874471 5570824 9748942 19497884 38995768