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47878992 = 2433771223
BaseRepresentation
bin1011011010100…
…1001101010000
310100002111122000
42312221031100
544224111432
64430114000
71120651620
oct266511520
9110074560
1047878992
1125032217
121404b900
139bc4b85
146504880
15430b57c
hex2da9350

47878992 has 160 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 13426560.

The previous prime is 47878991. The next prime is 47879009. The reversal of 47878992 is 29987874.

47878992 is a `hidden beast` number, since 478 + 7 + 89 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47878991) 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, 214593 + ... + 214815.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 247878992 is an apocalyptic number.

47878992 is a gapful number since it is divisible by the number (42) 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 47878992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

47878992 is an abundant number, since it is smaller than the sum of its proper divisors (112110768).

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

47878992 is a wasteful number, since it uses less digits than its factorization.

47878992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 47878992 is about 6919.4647191817. The cubic root of 47878992 is about 363.1184641698.

The spelling of 47878992 in words is "forty-seven million, eight hundred seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 71 72 84 108 112 126 142 144 168 189 213 216 223 252 284 336 378 426 432 446 497 504 568 639 669 756 852 892 994 1008 1136 1278 1338 1491 1512 1561 1704 1784 1917 1988 2007 2556 2676 2982 3024 3122 3408 3568 3834 3976 4014 4473 4683 5112 5352 5964 6021 6244 7668 7952 8028 8946 9366 10224 10704 11928 12042 12488 13419 14049 15336 15833 16056 17892 18732 23856 24084 24976 26838 28098 30672 31666 32112 35784 37464 42147 47499 48168 53676 56196 63332 71568 74928 84294 94998 96336 107352 110831 112392 126664 142497 168588 189996 214704 221662 224784 253328 284994 332493 337176 379992 427491 443324 569988 664986 674352 759984 854982 886648 997479 1139976 1329972 1709964 1773296 1994958 2279952 2659944 2992437 3419928 3989916 5319888 5984874 6839856 7979832 11969748 15959664 23939496 47878992