Search a number
-
+
37996952 = 237296931
BaseRepresentation
bin1001000011110…
…0100110011000
32122111110000112
42100330212120
534211400302
63434223452
7640653200
oct220744630
978443015
1037996952
111a4a2744
1210884b88
137b44c06
145091400
153508552
hex243c998

37996952 has 24 divisors (see below), whose sum is σ = 82876860. Its totient is φ = 16284240.

The previous prime is 37996949. The next prime is 37996957. The reversal of 37996952 is 25969973.

It is a super-2 number, since 2×379969522 = 2887536722580608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37996952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37996957) 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, 48074 + ... + 48857.

Almost surely, 237996952 is an apocalyptic number.

It is an amenable number.

37996952 is an abundant number, since it is smaller than the sum of its proper divisors (44879908).

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

37996952 is a wasteful number, since it uses less digits than its factorization.

37996952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96951 (or 96940 counting only the distinct ones).

The product of its digits is 918540, while the sum is 50.

The square root of 37996952 is about 6164.1667725655. The cubic root of 37996952 is about 336.1885515790.

The spelling of 37996952 in words is "thirty-seven million, nine hundred ninety-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 96931 193862 387724 678517 775448 1357034 2714068 4749619 5428136 9499238 18998476 37996952