[go: up one dir, main page]

Search a number
-
+
39074772 = 223112171583
BaseRepresentation
bin1001010100001…
…1101111010100
32201112012111210
42111003233110
540000343042
63513301420
7653062422
oct225035724
981465453
1039074772
1120069500
1211104870
138131689
145292112
15366ca9c
hex2543bd4

39074772 has 72 divisors (see below), whose sum is σ = 106178688. Its totient is φ = 11137280.

The previous prime is 39074771. The next prime is 39074837. The reversal of 39074772 is 27747093.

39074772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 39074772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39074771) 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, 23893 + ... + 25475.

It is an arithmetic number, because the mean of its divisors is an integer number (1474704).

Almost surely, 239074772 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 39074772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53089344).

39074772 is an abundant number, since it is smaller than the sum of its proper divisors (67103916).

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

39074772 is a wasteful number, since it uses less digits than its factorization.

39074772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 39074772 is about 6250.9816829039. The cubic root of 39074772 is about 339.3377304426.

The spelling of 39074772 in words is "thirty-nine million, seventy-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 1583 2057 2244 3166 4114 4749 6171 6332 8228 9498 12342 17413 18996 24684 26911 34826 52239 53822 69652 80733 104478 107644 161466 191543 208956 296021 322932 383086 574629 592042 766172 888063 1149258 1184084 1776126 2298516 3256231 3552252 6512462 9768693 13024924 19537386 39074772