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872084970 = 232550919037
BaseRepresentation
bin110011111110101…
…111010111101010
32020202222111200100
4303332233113222
53241223204340
6222311450230
730416412531
oct6376572752
92222874610
10872084970
114082a6389
12204086976
1310b8a1713
1483b71318
1551865830
hex33faf5ea

872084970 has 48 divisors (see below), whose sum is σ = 2271994920. Its totient is φ = 232086912.

The previous prime is 872084929. The next prime is 872085001. The reversal of 872084970 is 79480278.

It can be written as a sum of positive squares in 4 ways, for example, as 551639169 + 320445801 = 23487^2 + 17901^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36292 + ... + 55328.

Almost surely, 2872084970 is an apocalyptic number.

872084970 is an abundant number, since it is smaller than the sum of its proper divisors (1399909950).

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

872084970 is a wasteful number, since it uses less digits than its factorization.

872084970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19559 (or 19556 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 872084970 is about 29531.0848090618. The cubic root of 872084970 is about 955.4022665042.

The spelling of 872084970 in words is "eight hundred seventy-two million, eighty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 509 1018 1527 2545 3054 4581 5090 7635 9162 15270 19037 22905 38074 45810 57111 95185 114222 171333 190370 285555 342666 571110 856665 1713330 9689833 19379666 29069499 48449165 58138998 87208497 96898330 145347495 174416994 290694990 436042485 872084970