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47321472 = 2731117659
BaseRepresentation
bin1011010010000…
…1000110000000
310022001011212010
42310201012000
544103241342
64410132520
71113140322
oct264410600
9108034763
1047321472
1124791360
1213a21140
139a5b193
1463db612
15424b29c
hex2d21180

47321472 has 128 divisors (see below), whose sum is σ = 145411200. Its totient is φ = 13475840.

The previous prime is 47321471. The next prime is 47321473. The reversal of 47321472 is 27412374.

It is an interprime number because it is at equal distance from previous prime (47321471) and next prime (47321473).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47321471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71479 + ... + 72137.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 247321472 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 47321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705600).

47321472 is an abundant number, since it is smaller than the sum of its proper divisors (98089728).

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

47321472 is a wasteful number, since it uses less digits than its factorization.

47321472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 47321472 is about 6879.0604009559. The cubic root of 47321472 is about 361.7035310617.

It can be divided in two parts, 473 and 21472, that added together give a triangular number (21945 = T209).

The spelling of 47321472 in words is "forty-seven million, three hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 659 704 748 816 1056 1088 1122 1318 1408 1496 1632 1977 2112 2176 2244 2636 2992 3264 3954 4224 4488 5272 5984 6528 7249 7908 8976 10544 11203 11968 14498 15816 17952 21088 21747 22406 23936 28996 31632 33609 35904 42176 43494 44812 57992 63264 67218 71808 84352 86988 89624 115984 123233 126528 134436 173976 179248 231968 246466 253056 268872 347952 358496 369699 463936 492932 537744 695904 716992 739398 927872 985864 1075488 1391808 1433984 1478796 1971728 2150976 2783616 2957592 3943456 4301952 5915184 7886912 11830368 15773824 23660736 47321472