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45101056 = 212711213
BaseRepresentation
bin1010110000001…
…1000000000000
310010212101000111
42230003000000
543021213211
64250401104
71055231650
oct254030000
9103771014
1045101056
1123505100
1213130194
139461620
145dc0360
153e5d421
hex2b03000

45101056 has 156 divisors (see below), whose sum is σ = 122013136. Its totient is φ = 16220160.

The previous prime is 45101053. The next prime is 45101057. The reversal of 45101056 is 65010154.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (45101053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3469306 + ... + 3469318.

Almost surely, 245101056 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 45101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61006568).

45101056 is an abundant number, since it is smaller than the sum of its proper divisors (76912080).

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

45101056 is a wasteful number, since it uses less digits than its factorization.

45101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 45101056 is about 6715.7319779753. The cubic root of 45101056 is about 355.9553872471.

It can be divided in two parts, 45 and 101056, that added together give a palindrome (101101).

The spelling of 45101056 in words is "forty-five million, one hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 121 128 143 154 176 182 208 224 242 256 286 308 352 364 416 448 484 512 572 616 704 728 832 847 896 968 1001 1024 1144 1232 1408 1456 1573 1664 1694 1792 1936 2002 2048 2288 2464 2816 2912 3146 3328 3388 3584 3872 4004 4096 4576 4928 5632 5824 6292 6656 6776 7168 7744 8008 9152 9856 11011 11264 11648 12584 13312 13552 14336 15488 16016 18304 19712 22022 22528 23296 25168 26624 27104 28672 30976 32032 36608 39424 44044 45056 46592 50336 53248 54208 61952 64064 73216 78848 88088 93184 100672 108416 123904 128128 146432 157696 176176 186368 201344 216832 247808 256256 292864 315392 352352 372736 402688 433664 495616 512512 585728 704704 805376 867328 1025024 1409408 1610752 1734656 2050048 2818816 3221504 3469312 4100096 5637632 6443008 11275264 22550528 45101056