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470726880 = 25351375437
BaseRepresentation
bin11100000011101…
…011100011100000
31012210202101212220
4130003223203200
51431001230010
6114413151040
714444053401
oct3403534340
91183671786
10470726880
11221793088
1211178b480
13766a5c20
14467359a8
152b4d4970
hex1c0eb8e0

470726880 has 96 divisors (see below), whose sum is σ = 1596871584. Its totient is φ = 115869696.

The previous prime is 470726873. The next prime is 470726887. The reversal of 470726880 is 88627074.

It is an interprime number because it is at equal distance from previous prime (470726873) and next prime (470726887).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470726887) 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 15 ways as a sum of consecutive naturals, for example, 31479 + ... + 43958.

It is an arithmetic number, because the mean of its divisors is an integer number (16634079).

Almost surely, 2470726880 is an apocalyptic number.

470726880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470726880 is an abundant number, since it is smaller than the sum of its proper divisors (1126144704).

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

470726880 is a wasteful number, since it uses less digits than its factorization.

470726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75468 (or 75460 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 470726880 is about 21696.2411491023. The cubic root of 470726880 is about 777.8986172943.

The spelling of 470726880 in words is "four hundred seventy million, seven hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 75437 150874 226311 301748 377185 452622 603496 754370 905244 980681 1131555 1206992 1508740 1810488 1961362 2263110 2413984 2942043 3017480 3620976 3922724 4526220 4903405 5884086 6034960 7241952 7845448 9052440 9806810 11768172 12069920 14710215 15690896 18104880 19613620 23536344 29420430 31381792 36209760 39227240 47072688 58840860 78454480 94145376 117681720 156908960 235363440 470726880