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47314872 = 23321125431
BaseRepresentation
bin1011010001111…
…1011110111000
310022000211210200
42310133132320
544103033442
64410042200
71113112143
oct264373670
9108024720
1047314872
1124787400
1213a19360
139a58187
1463d905a
15424934c
hex2d1f7b8

47314872 has 72 divisors (see below), whose sum is σ = 140878920. Its totient is φ = 14335200.

The previous prime is 47314867. The next prime is 47314889. The reversal of 47314872 is 27841374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×473148722 = 4477394224752768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5997 + ... + 11427.

Almost surely, 247314872 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 47314872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70439460).

47314872 is an abundant number, since it is smaller than the sum of its proper divisors (93564048).

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

47314872 is a wasteful number, since it uses less digits than its factorization.

47314872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5447 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 47314872 is about 6878.5806675505. The cubic root of 47314872 is about 361.6867144934.

The spelling of 47314872 in words is "forty-seven million, three hundred fourteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 5431 8712 10862 16293 21724 32586 43448 48879 59741 65172 97758 119482 130344 179223 195516 238964 358446 391032 477928 537669 657151 716892 1075338 1314302 1433784 1971453 2150676 2628604 3942906 4301352 5257208 5914359 7885812 11828718 15771624 23657436 47314872