Search a number
-
+
845424972 = 223377315319
BaseRepresentation
bin110010011001000…
…010100101001100
32011220211001001000
4302121002211030
53212412044342
6215520220300
726643664560
oct6231024514
92156731030
10845424972
113a4247327
121b716a690
131061c8a82
14803d16a0
154e34b44c
hex3264294c

845424972 has 96 divisors (see below), whose sum is σ = 2539443200. Its totient is φ = 238225536.

The previous prime is 845424971. The next prime is 845424997. The reversal of 845424972 is 279424548.

It is not an unprimeable number, because it can be changed into a prime (845424971) 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, 47529 + ... + 62847.

Almost surely, 2845424972 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 845424972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269721600).

845424972 is an abundant number, since it is smaller than the sum of its proper divisors (1694018228).

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

845424972 is a wasteful number, since it uses less digits than its factorization.

845424972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15412 (or 15404 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 845424972 is about 29076.1925292842. The cubic root of 845424972 is about 945.5656578138.

The spelling of 845424972 in words is "eight hundred forty-five million, four hundred twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 756 876 1022 1314 1533 1971 2044 2628 3066 3942 4599 6132 7884 9198 13797 15319 18396 27594 30638 45957 55188 61276 91914 107233 137871 183828 214466 275742 321699 413613 428932 551484 643398 827226 965097 1118287 1286796 1654452 1930194 2236574 2895291 3354861 3860388 4473148 5790582 6709722 7828009 10064583 11581164 13419444 15656018 20129166 23484027 30193749 31312036 40258332 46968054 60387498 70452081 93936108 120774996 140904162 211356243 281808324 422712486 845424972