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4457643040 = 25539770177
BaseRepresentation
bin1000010011011001…
…00011110000100000
3102111122211201200101
410021230203300200
533112124034130
62014154432144
7215315224564
oct41154436040
912448751611
104457643040
111988250214
12a44a32654
13560696206
143040416a4
151b15231ca
hex109b23c20

4457643040 has 48 divisors (see below), whose sum is σ = 10557859032. Its totient is φ = 1778540544.

The previous prime is 4457643007. The next prime is 4457643059. The reversal of 4457643040 is 403467544.

It can be written as a sum of positive squares in 4 ways, for example, as 2712743056 + 1744899984 = 52084^2 + 41772^2 .

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, 28432 + ... + 98608.

Almost surely, 24457643040 is an apocalyptic number.

4457643040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4457643040 is an abundant number, since it is smaller than the sum of its proper divisors (6100215992).

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

4457643040 is a wasteful number, since it uses less digits than its factorization.

4457643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70589 (or 70581 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The square root of 4457643040 is about 66765.5827503962. The cubic root of 4457643040 is about 1645.7673012458.

It can be divided in two parts, 44576 and 43040, that added together give a square (87616 = 2962).

The spelling of 4457643040 in words is "four billion, four hundred fifty-seven million, six hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 397 794 1588 1985 3176 3970 6352 7940 12704 15880 31760 63520 70177 140354 280708 350885 561416 701770 1122832 1403540 2245664 2807080 5614160 11228320 27860269 55720538 111441076 139301345 222882152 278602690 445764304 557205380 891528608 1114410760 2228821520 4457643040