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61455264 = 25313232141
BaseRepresentation
bin1110101001101…
…1101110100000
311021122020202220
43222123232200
5111213032024
610033111040
71344234603
oct352335640
9137566686
1061455264
1131765282
12186b8480
13c969480
14823a33a
1555dde79
hex3a9bba0

61455264 has 96 divisors (see below), whose sum is σ = 181367424. Its totient is φ = 18078720.

The previous prime is 61455239. The next prime is 61455271. The reversal of 61455264 is 46255416.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27634 + ... + 29774.

It is an arithmetic number, because the mean of its divisors is an integer number (1889244).

Almost surely, 261455264 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 61455264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90683712).

61455264 is an abundant number, since it is smaller than the sum of its proper divisors (119912160).

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

61455264 is a wasteful number, since it uses less digits than its factorization.

61455264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 61455264 is about 7839.3407886123. The cubic root of 61455264 is about 394.6266064971.

The spelling of 61455264 in words is "sixty-one million, four hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2141 2208 2392 3588 4282 4784 6423 7176 8564 9568 12846 14352 17128 25692 27833 28704 34256 49243 51384 55666 68512 83499 98486 102768 111332 147729 166998 196972 205536 222664 295458 333996 393944 445328 590916 640159 667992 787888 890656 1181832 1280318 1335984 1575776 1920477 2363664 2560636 2671968 3840954 4727328 5121272 7681908 10242544 15363816 20485088 30727632 61455264