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45094720 = 2651123557
BaseRepresentation
bin1010110000000…
…1011101000000
310010212001022211
42230001131000
543021012340
64250311504
71055204326
oct254013500
9103761284
1045094720
1123500370
1213128594
13945b788
145dbbd16
153e5b5ea
hex2b01740

45094720 has 112 divisors (see below), whose sum is σ = 122456448. Its totient is φ = 15656960.

The previous prime is 45094663. The next prime is 45094723. The reversal of 45094720 is 2749054.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45094723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80682 + ... + 81238.

Almost surely, 245094720 is an apocalyptic number.

45094720 is a gapful number since it is divisible by the number (40) 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 45094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61228224).

45094720 is an abundant number, since it is smaller than the sum of its proper divisors (77361728).

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

45094720 is a wasteful number, since it uses less digits than its factorization.

45094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 45094720 is about 6715.2602332300. The cubic root of 45094720 is about 355.9387177264.

It can be divided in two parts, 4509 and 4720, that added together give a palindrome (9229).

The spelling of 45094720 in words is "forty-five million, ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 557 704 736 880 920 1012 1114 1265 1472 1760 1840 2024 2228 2530 2785 3520 3680 4048 4456 5060 5570 6127 7360 8096 8912 10120 11140 12254 12811 16192 17824 20240 22280 24508 25622 30635 35648 40480 44560 49016 51244 61270 64055 80960 89120 98032 102488 122540 128110 140921 178240 196064 204976 245080 256220 281842 392128 409952 490160 512440 563684 704605 819904 980320 1024880 1127368 1409210 1960640 2049760 2254736 2818420 4099520 4509472 5636840 9018944 11273680 22547360 45094720