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37991142 = 2327535689
BaseRepresentation
bin1001000011101…
…1001011100110
32122111011001100
42100323023212
534211204032
63434140530
7640630230
oct220731346
978434040
1037991142
111a499342
1210881746
137b42387
14508d250
15350697c
hex243b2e6

37991142 has 48 divisors (see below), whose sum is σ = 95865120. Its totient is φ = 10647936.

The previous prime is 37991123. The next prime is 37991143. The reversal of 37991142 is 24119973.

37991142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 37991097 and 37991106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37991143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3834 + ... + 9522.

It is an arithmetic number, because the mean of its divisors is an integer number (1997190).

Almost surely, 237991142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37991142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47932560).

37991142 is an abundant number, since it is smaller than the sum of its proper divisors (57873978).

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

37991142 is a wasteful number, since it uses less digits than its factorization.

37991142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5754 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 37991142 is about 6163.6954824196. The cubic root of 37991142 is about 336.1714155111.

The spelling of 37991142 in words is "thirty-seven million, nine hundred ninety-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 3339 5689 6678 11378 17067 34134 39823 51201 79646 102402 119469 238938 301517 358407 603034 716814 904551 1809102 2110619 2713653 4221238 5427306 6331857 12663714 18995571 37991142