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47085280 = 2551131863
BaseRepresentation
bin1011001110011…
…1011011100000
310021121011212021
42303213123200
544023212110
64401111224
71111134604
oct263473340
9107534767
1047085280
112463a960
1213928514
1399a7818
146379504
1542012da
hex2ce76e0

47085280 has 96 divisors (see below), whose sum is σ = 125411328. Its totient is φ = 16550400.

The previous prime is 47085271. The next prime is 47085281. The reversal of 47085280 is 8258074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47085281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54129 + ... + 54991.

It is an arithmetic number, because the mean of its divisors is an integer number (1306368).

Almost surely, 247085280 is an apocalyptic number.

47085280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62705664).

47085280 is an abundant number, since it is smaller than the sum of its proper divisors (78326048).

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

47085280 is a wasteful number, since it uses less digits than its factorization.

47085280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 47085280 is about 6861.8714648411. The cubic root of 47085280 is about 361.1007461237.

The spelling of 47085280 in words is "forty-seven million, eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 863 880 992 1240 1364 1705 1726 1760 2480 2728 3410 3452 4315 4960 5456 6820 6904 8630 9493 10912 13640 13808 17260 18986 26753 27280 27616 34520 37972 47465 53506 54560 69040 75944 94930 107012 133765 138080 151888 189860 214024 267530 294283 303776 379720 428048 535060 588566 759440 856096 1070120 1177132 1471415 1518880 2140240 2354264 2942830 4280480 4708528 5885660 9417056 11771320 23542640 47085280