Search a number
-
+
37072092 = 22329307347
BaseRepresentation
bin1000110101101…
…0110011011100
32120202110100110
42031122303130
533442301332
63402330020
7630051621
oct215326334
976673313
1037072092
1119a208a2
12104b9910
1378acc65
144cd0348
1533c44cc
hex235acdc

37072092 has 48 divisors (see below), whose sum is σ = 90034560. Its totient is φ = 11858112.

The previous prime is 37072081. The next prime is 37072103. The reversal of 37072092 is 29027073.

It is an interprime number because it is at equal distance from previous prime (37072081) and next prime (37072103).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106663 + ... + 107009.

It is an arithmetic number, because the mean of its divisors is an integer number (1875720).

Almost surely, 237072092 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 37072092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45017280).

37072092 is an abundant number, since it is smaller than the sum of its proper divisors (52962468).

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

37072092 is a wasteful number, since it uses less digits than its factorization.

37072092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 37072092 is about 6088.6855724368. The cubic root of 37072092 is about 333.4384650607.

The spelling of 37072092 in words is "thirty-seven million, seventy-two thousand, ninety-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 307 347 348 614 694 921 1041 1228 1388 1842 2082 3684 4164 8903 10063 17806 20126 26709 30189 35612 40252 53418 60378 106529 106836 120756 213058 319587 426116 639174 1278348 3089341 6178682 9268023 12357364 18536046 37072092