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4045381824 = 263111915427
BaseRepresentation
bin1111000100011111…
…1010000011000000
3101102221002200121110
43301013322003000
531241104204244
61505230323320
7202151115051
oct36107720300
911387080543
104045381824
111796570270
1294a959540
134c6150a73
142a53a8728
1518a23b9b9
hexf11fa0c0

4045381824 has 56 divisors (see below), whose sum is σ = 11676449088. Its totient is φ = 1225872640.

The previous prime is 4045381793. The next prime is 4045381831. The reversal of 4045381824 is 4281835404.

It is a super-2 number, since 2×40453818242 = 32730228203899133952, 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, 955602 + ... + 959825.

Almost surely, 24045381824 is an apocalyptic number.

4045381824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4045381824 is an abundant number, since it is smaller than the sum of its proper divisors (7631067264).

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

4045381824 is a wasteful number, since it uses less digits than its factorization.

4045381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915453 (or 1915443 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 4045381824 is about 63603.3161399624. The cubic root of 4045381824 is about 1593.3817536721.

The spelling of 4045381824 in words is "four billion, forty-five million, three hundred eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 1915427 3830854 5746281 7661708 11492562 15323416 21069697 22985124 30646832 42139394 45970248 61293664 63209091 84278788 91940496 122587328 126418182 168557576 183880992 252836364 337115152 367761984 505672728 674230304 1011345456 1348460608 2022690912 4045381824