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47681472 = 263318011
BaseRepresentation
bin1011010111100…
…0111111000000
310022201110200110
42311320333000
544201301342
64421551320
71116200016
oct265707700
9108643613
1047681472
1124a07883
1213b75540
139b55cb7
1464928b6
1542bcc9c
hex2d78fc0

47681472 has 56 divisors (see below), whose sum is σ = 130243072. Its totient is φ = 15379200.

The previous prime is 47681471. The next prime is 47681479. The reversal of 47681472 is 27418674.

It is a self number, because there is not a number n which added to its sum of digits gives 47681472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47681471) 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, 1947 + ... + 9957.

Almost surely, 247681472 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 47681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65121536).

47681472 is an abundant number, since it is smaller than the sum of its proper divisors (82561600).

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

47681472 is a wasteful number, since it uses less digits than its factorization.

47681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8057 (or 8047 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 47681472 is about 6905.1771881683. The cubic root of 47681472 is about 362.6184396175.

The spelling of 47681472 in words is "forty-seven million, six hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 8011 16022 24033 32044 48066 64088 96132 128176 192264 248341 256352 384528 496682 512704 745023 769056 993364 1490046 1538112 1986728 2980092 3973456 5960184 7946912 11920368 15893824 23840736 47681472