Search a number
-
+
47164416 = 2103131181
BaseRepresentation
bin1011001111101…
…0110000000000
310021202012102020
42303322300000
544033230131
64402521440
71111614405
oct263726000
9107665366
1047164416
1124694362
1213966280
139a04850
14639a2ac
154219996
hex2cfac00

47164416 has 88 divisors (see below), whose sum is σ = 135495024. Its totient is φ = 14499840.

The previous prime is 47164399. The next prime is 47164433. The reversal of 47164416 is 61446174.

It is an interprime number because it is at equal distance from previous prime (47164399) and next prime (47164433).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39346 + ... + 40526.

Almost surely, 247164416 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 47164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67747512).

47164416 is an abundant number, since it is smaller than the sum of its proper divisors (88330608).

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

47164416 is a wasteful number, since it uses less digits than its factorization.

47164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1199 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 47164416 is about 6867.6354009222. The cubic root of 47164416 is about 361.3029329810.

The spelling of 47164416 in words is "forty-seven million, one hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1181 1248 1536 1664 2362 2496 3072 3328 3543 4724 4992 6656 7086 9448 9984 13312 14172 15353 18896 19968 28344 30706 37792 39936 46059 56688 61412 75584 92118 113376 122824 151168 184236 226752 245648 302336 368472 453504 491296 604672 736944 907008 982592 1209344 1473888 1814016 1965184 2947776 3628032 3930368 5895552 7860736 11791104 15721472 23582208 47164416