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61051056 = 24311432689
BaseRepresentation
bin1110100011100…
…1000010110000
311020212201022020
43220321002300
5111112113211
610020311440
71340632263
oct350710260
9136781266
1061051056
1131509620
1218542580
13c8574b1
148172cda
15555e306
hex3a390b0

61051056 has 80 divisors (see below), whose sum is σ = 176119680. Its totient is φ = 18063360.

The previous prime is 61051051. The next prime is 61051069. The reversal of 61051056 is 65015016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61051051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21360 + ... + 24048.

It is an arithmetic number, because the mean of its divisors is an integer number (2201496).

Almost surely, 261051056 is an apocalyptic number.

61051056 is a gapful number since it is divisible by the number (66) 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 61051056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88059840).

61051056 is an abundant number, since it is smaller than the sum of its proper divisors (115068624).

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

61051056 is a wasteful number, since it uses less digits than its factorization.

61051056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 61051056 is about 7813.5175177381. The cubic root of 61051056 is about 393.7595138039.

The spelling of 61051056 in words is "sixty-one million, fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2689 2838 3784 5378 5676 7568 8067 10756 11352 16134 21512 22704 29579 32268 43024 59158 64536 88737 115627 118316 129072 177474 231254 236632 346881 354948 462508 473264 693762 709896 925016 1271897 1387524 1419792 1850032 2543794 2775048 3815691 5087588 5550096 7631382 10175176 15262764 20350352 30525528 61051056