Search a number
-
+
407031612 = 2231317314951
BaseRepresentation
bin11000010000101…
…100111100111100
31001100220100101220
4120100230330330
51313200002422
6104220033340
713041466041
oct3020547474
91040810356
10407031612
11199838969
12b4392850
1366434010
143c0b51c8
1525b01e5c
hex1842cf3c

407031612 has 96 divisors (see below), whose sum is σ = 1118121984. Its totient is φ = 114048000.

The previous prime is 407031607. The next prime is 407031613. The reversal of 407031612 is 216130704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407031613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79737 + ... + 84687.

It is an arithmetic number, because the mean of its divisors is an integer number (11647104).

Almost surely, 2407031612 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 407031612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559060992).

407031612 is an abundant number, since it is smaller than the sum of its proper divisors (711090372).

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

407031612 is a wasteful number, since it uses less digits than its factorization.

407031612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 407031612 is about 20175.0244609517. The cubic root of 407031612 is about 741.0986917819.

The spelling of 407031612 in words is "four hundred seven million, thirty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 156 186 204 221 372 403 442 527 663 806 884 1054 1209 1326 1581 1612 2108 2418 2652 3162 4836 4951 6324 6851 9902 13702 14853 19804 20553 27404 29706 41106 59412 64363 82212 84167 128726 153481 168334 193089 252501 257452 306962 336668 386178 460443 505002 613924 772356 920886 1010004 1094171 1841772 1995253 2188342 2609177 3282513 3990506 4376684 5218354 5985759 6565026 7827531 7981012 10436708 11971518 13130052 15655062 23943036 31310124 33919301 67838602 101757903 135677204 203515806 407031612