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37934868 = 22319379439
BaseRepresentation
bin1001000010110…
…1011100010100
32122101021212010
42100231130110
534202403433
63433024220
7640304166
oct220553424
978337763
1037934868
111a460034
1210855070
137b2288a
145076936
1534e4e63
hex242d714

37934868 has 48 divisors (see below), whose sum is σ = 93632000. Its totient is φ = 11920608.

The previous prime is 37934867. The next prime is 37934899. The reversal of 37934868 is 86843973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37934867) 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 15 ways as a sum of consecutive naturals, for example, 86193 + ... + 86631.

Almost surely, 237934868 is an apocalyptic number.

37934868 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37934868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46816000).

37934868 is an abundant number, since it is smaller than the sum of its proper divisors (55697132).

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

37934868 is a wasteful number, since it uses less digits than its factorization.

37934868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 842 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 37934868 is about 6159.1288345025. The cubic root of 37934868 is about 336.0053499715.

The spelling of 37934868 in words is "thirty-seven million, nine hundred thirty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 379 439 758 878 1137 1317 1516 1756 2274 2634 4548 5268 7201 8341 14402 16682 21603 25023 28804 33364 43206 50046 86412 100092 166381 332762 499143 665524 998286 1996572 3161239 6322478 9483717 12644956 18967434 37934868