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47913984 = 210331733
BaseRepresentation
bin1011011011000…
…1110000000000
310100011021122000
42312301300000
544231221414
64430544000
71121155626
oct266616000
9110137560
1047913984
1125056538
1214068000
139c07a91
146513516
154316b09
hex2db1c00

47913984 has 88 divisors (see below), whose sum is σ = 141979920. Its totient is φ = 15962112.

The previous prime is 47913979. The next prime is 47914019. The reversal of 47913984 is 48931974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26782 + ... + 28514.

Almost surely, 247913984 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 47913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70989960).

47913984 is an abundant number, since it is smaller than the sum of its proper divisors (94065936).

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

47913984 is a wasteful number, since it uses less digits than its factorization.

47913984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1738 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 47913984 is about 6921.9927766504. The cubic root of 47913984 is about 363.2069034247.

The spelling of 47913984 in words is "forty-seven million, nine hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 1733 2304 3072 3456 3466 4608 5199 6912 6932 9216 10398 13824 13864 15597 20796 27648 27728 31194 41592 46791 55456 62388 83184 93582 110912 124776 166368 187164 221824 249552 332736 374328 443648 499104 665472 748656 887296 998208 1330944 1497312 1774592 1996416 2661888 2994624 3992832 5323776 5989248 7985664 11978496 15971328 23956992 47913984