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47399680 = 285191949
BaseRepresentation
bin1011010011010…
…0001100000000
310022012011010201
42310310030000
544113242210
64411534544
71113614326
oct264641400
9108164121
1047399680
1124835099
1213a5a454
139a87963
14641bd16
15426453a
hex2d34300

47399680 has 72 divisors (see below), whose sum is σ = 119574000. Its totient is φ = 17952768.

The previous prime is 47399669. The next prime is 47399687. The reversal of 47399680 is 8699374.

It is a self number, because there is not a number n which added to its sum of digits gives 47399680.

It is not an unprimeable number, because it can be changed into a prime (47399687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23346 + ... + 25294.

It is an arithmetic number, because the mean of its divisors is an integer number (1660750).

Almost surely, 247399680 is an apocalyptic number.

47399680 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 47399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59787000).

47399680 is an abundant number, since it is smaller than the sum of its proper divisors (72174320).

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

47399680 is a wasteful number, since it uses less digits than its factorization.

47399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 47399680 is about 6884.7425514684. The cubic root of 47399680 is about 361.9026833632.

The spelling of 47399680 in words is "forty-seven million, three hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 1949 2432 3040 3898 4864 6080 7796 9745 12160 15592 19490 24320 31184 37031 38980 62368 74062 77960 124736 148124 155920 185155 249472 296248 311840 370310 498944 592496 623680 740620 1184992 1247360 1481240 2369984 2494720 2962480 4739968 5924960 9479936 11849920 23699840 47399680