Search a number
-
+
47061056 = 267731439
BaseRepresentation
bin1011001110000…
…1100001000000
310021112221122002
42303201201000
544021423211
64400403132
71111004150
oct263414100
9107487562
1047061056
1124623739
12139164a8
1399997a3
146370760
1541e903b
hex2ce1840

47061056 has 56 divisors (see below), whose sum is σ = 108264960. Its totient is φ = 19878912.

The previous prime is 47061041. The next prime is 47061067. The reversal of 47061056 is 65016074.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31985 + ... + 33423.

Almost surely, 247061056 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 47061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54132480).

47061056 is an abundant number, since it is smaller than the sum of its proper divisors (61203904).

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

47061056 is a wasteful number, since it uses less digits than its factorization.

47061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 47061056 is about 6860.1061216281. The cubic root of 47061056 is about 361.0388102421.

The spelling of 47061056 in words is "forty-seven million, sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 448 511 584 1022 1168 1439 2044 2336 2878 4088 4672 5756 8176 10073 11512 16352 20146 23024 32704 40292 46048 80584 92096 105047 161168 210094 322336 420188 644672 735329 840376 1470658 1680752 2941316 3361504 5882632 6723008 11765264 23530528 47061056