Search a number
-
+
47061252 = 22327199829
BaseRepresentation
bin1011001110000…
…1100100000100
310021112221220100
42303201210010
544021430002
64400404100
71111004550
oct263414404
9107487810
1047061252
11246238a7
1213916630
1399998c4
146370860
1541e911c
hex2ce1904

47061252 has 72 divisors (see below), whose sum is σ = 143124800. Its totient is φ = 12737088.

The previous prime is 47061227. The next prime is 47061283. The reversal of 47061252 is 25216074.

47061252 is a `hidden beast` number, since 47 + 0 + 612 + 5 + 2 = 666.

It is a super-2 number, since 2×470612522 = 4429522879615008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127 + ... + 9702.

Almost surely, 247061252 is an apocalyptic number.

47061252 is a gapful number since it is divisible by the number (42) 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 47061252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71562400).

47061252 is an abundant number, since it is smaller than the sum of its proper divisors (96063548).

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

47061252 is a wasteful number, since it uses less digits than its factorization.

47061252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9865 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47061252 is about 6860.1204071066. The cubic root of 47061252 is about 361.0393114599.

The spelling of 47061252 in words is "forty-seven million, sixty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 9829 19658 29487 39316 58974 68803 88461 117948 137606 176922 186751 206409 275212 353844 373502 412818 560253 619227 747004 825636 1120506 1238454 1307257 1680759 2241012 2476908 2614514 3361518 3921771 5229028 6723036 7843542 11765313 15687084 23530626 47061252