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47906980 = 225111973157
BaseRepresentation
bin1011011011000…
…0000010100100
310100010221000121
42312300002210
544231010410
64430451324
71121126332
oct266600244
9110127017
1047906980
1125051250
1214063b44
139c04834
146510b52
1543149da
hex2db00a4

47906980 has 96 divisors (see below), whose sum is σ = 117855360. Its totient is φ = 16174080.

The previous prime is 47906977. The next prime is 47906981. The reversal of 47906980 is 8960974.

It is not an unprimeable number, because it can be changed into a prime (47906981) 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, 305062 + ... + 305218.

It is an arithmetic number, because the mean of its divisors is an integer number (1227660).

Almost surely, 247906980 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 47906980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58927680).

47906980 is an abundant number, since it is smaller than the sum of its proper divisors (69948380).

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

47906980 is a wasteful number, since it uses less digits than its factorization.

47906980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 47906980 is about 6921.4868344887. The cubic root of 47906980 is about 363.1892048678.

The spelling of 47906980 in words is "forty-seven million, nine hundred six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 73 76 95 110 146 157 190 209 220 292 314 365 380 418 628 730 785 803 836 1045 1387 1460 1570 1606 1727 2090 2774 2983 3140 3212 3454 4015 4180 5548 5966 6908 6935 8030 8635 11461 11932 13870 14915 15257 16060 17270 22922 27740 29830 30514 32813 34540 45844 57305 59660 61028 65626 76285 114610 126071 131252 152570 164065 217759 229220 252142 305140 328130 435518 504284 630355 656260 871036 1088795 1260710 2177590 2395349 2521420 4355180 4790698 9581396 11976745 23953490 47906980