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47849984 = 29713279
BaseRepresentation
bin1011011010001…
…0001000000000
310100001000211122
42312202020000
544222144414
64425331412
71120501220
oct266421000
9110030748
1047849984
1125012446
1214036b68
139bb4900
1464d8080
154302b8e
hex2da2200

47849984 has 120 divisors (see below), whose sum is σ = 119813760. Its totient is φ = 18690048.

The previous prime is 47849983. The next prime is 47849987. The reversal of 47849984 is 48994874.

It is not an unprimeable number, because it can be changed into a prime (47849981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 605657 + ... + 605735.

It is an arithmetic number, because the mean of its divisors is an integer number (998448).

Almost surely, 247849984 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 47849984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59906880).

47849984 is an abundant number, since it is smaller than the sum of its proper divisors (71963776).

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

47849984 is an equidigital number, since it uses as much as digits as its factorization.

47849984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 47849984 is about 6917.3682856994. The cubic root of 47849984 is about 363.0451162850.

The spelling of 47849984 in words is "forty-seven million, eight hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 79 91 104 112 128 158 169 182 208 224 256 316 338 364 416 448 512 553 632 676 728 832 896 1027 1106 1183 1264 1352 1456 1664 1792 2054 2212 2366 2528 2704 2912 3328 3584 4108 4424 4732 5056 5408 5824 6656 7189 8216 8848 9464 10112 10816 11648 13351 14378 16432 17696 18928 20224 21632 23296 26702 28756 32864 35392 37856 40448 43264 46592 53404 57512 65728 70784 75712 86528 93457 106808 115024 131456 141568 151424 186914 213616 230048 262912 283136 302848 373828 427232 460096 525824 605696 747656 854464 920192 1495312 1708928 1840384 2990624 3417856 3680768 5981248 6835712 11962496 23924992 47849984