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47681964 = 2232113472
BaseRepresentation
bin1011010111100…
…1000110101100
310022201111100200
42311321012230
544201310324
64421553500
71116201321
oct265710654
9108644320
1047681964
1124a08190
1213b75890
139b562a5
146492b48
1542bcec9
hex2d791ac

47681964 has 54 divisors (see below), whose sum is σ = 131866644. Its totient is φ = 14407440.

The previous prime is 47681947. The next prime is 47681983. The reversal of 47681964 is 46918674.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137239 + ... + 137585.

Almost surely, 247681964 is an apocalyptic number.

47681964 is a gapful number since it is divisible by the number (44) 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 47681964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65933322).

47681964 is an abundant number, since it is smaller than the sum of its proper divisors (84184680).

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

47681964 is a wasteful number, since it uses less digits than its factorization.

47681964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 363 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 47681964 is about 6905.2128135199. The cubic root of 47681964 is about 362.6196868361.

The spelling of 47681964 in words is "forty-seven million, six hundred eighty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 347 396 694 1041 1388 2082 3123 3817 4164 6246 7634 11451 12492 15268 22902 34353 45804 68706 120409 137412 240818 361227 481636 722454 1083681 1324499 1444908 2167362 2648998 3973497 4334724 5297996 7946994 11920491 15893988 23840982 47681964