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45114056 = 23131721979
BaseRepresentation
bin1010110000011…
…0001011001000
310010220000211222
42230012023020
543022122211
64250541212
71055314601
oct254061310
9103800758
1045114056
1123513949
1213137808
139467510
145dc4da8
153e621db
hex2b062c8

45114056 has 96 divisors (see below), whose sum is σ = 103152000. Its totient is φ = 18330624.

The previous prime is 45114023. The next prime is 45114059. The reversal of 45114056 is 65041154.

It is a super-2 number, since 2×451140562 = 4070556097542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45114059) 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, 571025 + ... + 571103.

It is an arithmetic number, because the mean of its divisors is an integer number (1074500).

Almost surely, 245114056 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 45114056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51576000).

45114056 is an abundant number, since it is smaller than the sum of its proper divisors (58037944).

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

45114056 is a wasteful number, since it uses less digits than its factorization.

45114056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 45114056 is about 6716.6997848646. The cubic root of 45114056 is about 355.9895843437.

The spelling of 45114056 in words is "forty-five million, one hundred fourteen thousand, fifty-six".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 79 104 136 152 158 221 247 289 316 323 442 494 578 632 646 884 988 1027 1156 1292 1343 1501 1768 1976 2054 2312 2584 2686 3002 3757 4108 4199 5372 5491 6004 7514 8216 8398 10744 10982 12008 15028 16796 17459 19513 21964 22831 25517 30056 33592 34918 39026 43928 45662 51034 69836 71383 78052 91324 102068 139672 142766 156104 182648 204136 285532 296803 331721 433789 571064 593606 663442 867578 1187212 1326884 1735156 2374424 2653768 3470312 5639257 11278514 22557028 45114056