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37927053 = 324214117
BaseRepresentation
bin1001000010101…
…1100010001101
32122100220010200
42100223202031
534202131203
63432524113
7640242333
oct220534215
978326120
1037927053
111a45517a
1210850639
137b1c158
145073b53
1534e29a3
hex242b88d

37927053 has 6 divisors (see below), whose sum is σ = 54783534. Its totient is φ = 25284696.

The previous prime is 37927049. The next prime is 37927067. The reversal of 37927053 is 35072973.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29615364 + 8311689 = 5442^2 + 2883^2 .

It is not a de Polignac number, because 37927053 - 22 = 37927049 is a prime.

It is a super-2 number, since 2×379270532 = 2876922698529618, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37926999 and 37927017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37927093) 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 5 ways as a sum of consecutive naturals, for example, 2107050 + ... + 2107067.

It is an arithmetic number, because the mean of its divisors is an integer number (9130589).

Almost surely, 237927053 is an apocalyptic number.

It is an amenable number.

37927053 is a deficient number, since it is larger than the sum of its proper divisors (16856481).

37927053 is a wasteful number, since it uses less digits than its factorization.

37927053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214123 (or 4214120 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 37927053 is about 6158.4943776868. The cubic root of 37927053 is about 335.9822747877.

The spelling of 37927053 in words is "thirty-seven million, nine hundred twenty-seven thousand, fifty-three".

Divisors: 1 3 9 4214117 12642351 37927053