Search a number
-
+
872508372 = 223412816311
BaseRepresentation
bin110100000000010…
…110101111010100
32020210210000110220
4310000112233110
53241330231442
6222324514340
730423125121
oct6400265724
92223700426
10872508372
114085654aa
1220424b9b0
1310b9bc358
1483c41748
15518eaeec
hex34016bd4

872508372 has 48 divisors (see below), whose sum is σ = 2093261184. Its totient is φ = 282688000.

The previous prime is 872508349. The next prime is 872508383. The reversal of 872508372 is 273805278.

It is a super-2 number, since 2×8725083722 = 1522541718420180768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 135097 + ... + 141407.

It is an arithmetic number, because the mean of its divisors is an integer number (43609608).

Almost surely, 2872508372 is an apocalyptic number.

872508372 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

872508372 is an abundant number, since it is smaller than the sum of its proper divisors (1220752812).

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

872508372 is a wasteful number, since it uses less digits than its factorization.

872508372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 872508372 is about 29538.2526903675. The cubic root of 872508372 is about 955.5568591553.

The spelling of 872508372 in words is "eight hundred seventy-two million, five hundred eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 281 492 562 843 1124 1686 3372 6311 11521 12622 18933 23042 25244 34563 37866 46084 69126 75732 138252 258751 517502 776253 1035004 1552506 1773391 3105012 3546782 5320173 7093564 10640346 21280692 72709031 145418062 218127093 290836124 436254186 872508372