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45972240 = 2435191551
BaseRepresentation
bin1010111101011…
…1101100010000
310012111122001120
42233113230100
543232102430
64321202240
71065520566
oct257275420
9105448046
1045972240
1123a4a696
1213490380
1396a8012
146169a36
154081610
hex2bd7b10

45972240 has 40 divisors (see below), whose sum is σ = 142514688. Its totient is φ = 12259200.

The previous prime is 45972217. The next prime is 45972257. The reversal of 45972240 is 4227954.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×459722402 = 4226893701235200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95536 + ... + 96015.

Almost surely, 245972240 is an apocalyptic number.

45972240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45972240 is an abundant number, since it is smaller than the sum of its proper divisors (96542448).

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

45972240 is a wasteful number, since it uses less digits than its factorization.

45972240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191567 (or 191561 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45972240 is about 6780.2831799269. The cubic root of 45972240 is about 358.2326962146.

The spelling of 45972240 in words is "forty-five million, nine hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 191551 383102 574653 766204 957755 1149306 1532408 1915510 2298612 2873265 3064816 3831020 4597224 5746530 7662040 9194448 11493060 15324080 22986120 45972240