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61241256 = 23321989503
BaseRepresentation
bin1110100110011…
…1011110101000
311021020101012200
43221213132220
5111134210011
610024340200
71342353636
oct351473650
9137211180
1061241256
113162950a
1218614660
13c8c2c3b
1481c2356
15559a856
hex3a677a8

61241256 has 96 divisors (see below), whose sum is σ = 176904000. Its totient is φ = 19084032.

The previous prime is 61241251. The next prime is 61241261. The reversal of 61241256 is 65214216.

61241256 is a `hidden beast` number, since 612 + 41 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61241251) and next prime (61241261).

It is not an unprimeable number, because it can be changed into a prime (61241251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121501 + ... + 122003.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 261241256 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 61241256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

61241256 is an abundant number, since it is smaller than the sum of its proper divisors (115662744).

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

61241256 is a wasteful number, since it uses less digits than its factorization.

61241256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 61241256 is about 7825.6792676419. The cubic root of 61241256 is about 394.1679993360.

The spelling of 61241256 in words is "sixty-one million, two hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 89 114 152 171 178 228 267 342 356 456 503 534 684 712 801 1006 1068 1368 1509 1602 1691 2012 2136 3018 3204 3382 4024 4527 5073 6036 6408 6764 9054 9557 10146 12072 13528 15219 18108 19114 20292 28671 30438 36216 38228 40584 44767 57342 60876 76456 86013 89534 114684 121752 134301 172026 179068 229368 268602 344052 358136 402903 537204 688104 805806 850573 1074408 1611612 1701146 2551719 3223224 3402292 5103438 6804584 7655157 10206876 15310314 20413752 30620628 61241256