Search a number
-
+
4496375040 = 28351936067
BaseRepresentation
bin1000011000000000…
…10011110100000000
3102121100201111222220
410030000103310000
533202033000130
62022100531040
7216265362063
oct41400236400
912540644886
104496375040
1119a80a5133
12a559b0a80
13568707861
143092448da
151b4b24410
hex10c013d00

4496375040 has 144 divisors (see below), whose sum is σ = 14437082688. Its totient is φ = 1192624128.

The previous prime is 4496375021. The next prime is 4496375053. The reversal of 4496375040 is 405736944.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4496374983 and 4496375001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738087 + ... + 744153.

Almost surely, 24496375040 is an apocalyptic number.

4496375040 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 4496375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218541344).

4496375040 is an abundant number, since it is smaller than the sum of its proper divisors (9940707648).

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

4496375040 is a wasteful number, since it uses less digits than its factorization.

4496375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4496375040 is about 67055.0150249778. The cubic root of 4496375040 is about 1650.5201959437.

The spelling of 4496375040 in words is "four billion, four hundred ninety-six million, three hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 256 320 384 386 480 579 640 768 772 960 965 1158 1280 1544 1920 1930 2316 2895 3088 3840 3860 4632 5790 6067 6176 7720 9264 11580 12134 12352 15440 18201 18528 23160 24268 24704 30335 30880 36402 37056 46320 48536 49408 60670 61760 72804 74112 91005 92640 97072 121340 123520 145608 148224 182010 185280 194144 242680 247040 291216 364020 370560 388288 485360 582432 728040 741120 776576 970720 1164864 1170931 1456080 1553152 1941440 2329728 2341862 2912160 3512793 3882880 4659456 4683724 5824320 5854655 7025586 7765760 9367448 11648640 11709310 14051172 17563965 18734896 23297280 23418620 28102344 35127930 37469792 46837240 56204688 70255860 74939584 93674480 112409376 140511720 149879168 187348960 224818752 281023440 299758336 374697920 449637504 562046880 749395840 899275008 1124093760 1498791680 2248187520 4496375040