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4568257440 = 25345352489
BaseRepresentation
bin1000100000100101…
…00001001110100000
3102210100222112010000
410100102201032200
533323433214230
62033145340000
7221130355545
oct42022411640
912710875100
104568257440
111a3473147a
12a75a97600
1357a585116
143149d6bcc
151bb0c2b60
hex1104a13a0

4568257440 has 120 divisors (see below), whose sum is σ = 16122187620. Its totient is φ = 1218198528.

The previous prime is 4568257439. The next prime is 4568257513. The reversal of 4568257440 is 447528654.

It can be written as a sum of positive squares in 2 ways, for example, as 4297589136 + 270668304 = 65556^2 + 16452^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163285 + ... + 189204.

Almost surely, 24568257440 is an apocalyptic number.

4568257440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4568257440 is an abundant number, since it is smaller than the sum of its proper divisors (11553930180).

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

4568257440 is a wasteful number, since it uses less digits than its factorization.

4568257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352516 (or 352499 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4568257440 is about 67588.8854768297. The cubic root of 4568257440 is about 1659.2692191498.

The spelling of 4568257440 in words is "four billion, five hundred sixty-eight million, two hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 352489 704978 1057467 1409956 1762445 2114934 2819912 3172401 3524890 4229868 5287335 5639824 6344802 7049780 8459736 9517203 10574670 11279648 12689604 14099560 15862005 16919472 19034406 21149340 25379208 28199120 28551609 31724010 33838944 38068812 42298680 47586015 50758416 56398240 57103218 63448020 76137624 84597360 95172030 101516832 114206436 126896040 142758045 152275248 169194720 190344060 228412872 253792080 285516090 304550496 380688120 456825744 507584160 571032180 761376240 913651488 1142064360 1522752480 2284128720 4568257440