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4900100560 = 24531263737
BaseRepresentation
bin1001001000001000…
…11001100111010000
3110122111101220021221
410210010121213100
540013411204220
62130122054424
7232300111315
oct44404314720
913574356257
104900100560
112094a85093
12b4904a414
13601251ab4
14346ad8d0c
151da2c19aa
hex1241199d0

4900100560 has 60 divisors (see below), whose sum is σ = 11772281124. Its totient is φ = 1896783360.

The previous prime is 4900100549. The next prime is 4900100567. The reversal of 4900100560 is 650010094.

It can be written as a sum of positive squares in 2 ways, for example, as 531948096 + 4368152464 = 23064^2 + 66092^2 .

It is a super-2 number, since 2×49001005602 = 48021970996224627200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4900100567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45012 + ... + 108748.

Almost surely, 24900100560 is an apocalyptic number.

4900100560 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 4900100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886140562).

4900100560 is an abundant number, since it is smaller than the sum of its proper divisors (6872180564).

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

4900100560 is a wasteful number, since it uses less digits than its factorization.

4900100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63812 (or 63775 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 4900100560 is about 70000.7182820291. The cubic root of 4900100560 is about 1698.5108712837.

The spelling of 4900100560 in words is "four billion, nine hundred million, one hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 961 1240 1922 2480 3844 4805 7688 9610 15376 19220 38440 63737 76880 127474 254948 318685 509896 637370 1019792 1274740 1975847 2549480 3951694 5098960 7903388 9879235 15806776 19758470 31613552 39516940 61251257 79033880 122502514 158067760 245005028 306256285 490010056 612512570 980020112 1225025140 2450050280 4900100560