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4900826742 = 237172616619
BaseRepresentation
bin1001001000001110…
…01010111001110110
3110122112202210102120
410210013022321312
540014102423432
62130145420410
7232306224420
oct44407127166
913575683376
104900826742
112095430739
12b4933a706
136014474a6
14346c47810
151da3b6c2c
hex1241cae76

4900826742 has 96 divisors (see below), whose sum is σ = 12096487680. Its totient is φ = 1296069120.

The previous prime is 4900826641. The next prime is 4900826743. The reversal of 4900826742 is 2476280094.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4900826694 and 4900826703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4900826743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737109 + ... + 743727.

It is an arithmetic number, because the mean of its divisors is an integer number (126005080).

Almost surely, 24900826742 is an apocalyptic number.

4900826742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4900826742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048243840).

4900826742 is an abundant number, since it is smaller than the sum of its proper divisors (7195660938).

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

4900826742 is a wasteful number, since it uses less digits than its factorization.

4900826742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4900826742 is about 70005.9050509312. The cubic root of 4900826742 is about 1698.5947720854.

The spelling of 4900826742 in words is "four billion, nine hundred million, eight hundred twenty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 61 102 119 122 183 238 289 357 366 427 578 714 854 867 1037 1281 1734 2023 2074 2562 3111 4046 6069 6222 6619 7259 12138 13238 14518 17629 19857 21777 35258 39714 43554 46333 52887 92666 105774 112523 123403 138999 225046 246806 277998 337569 370209 403759 675138 740418 787661 807518 1211277 1575322 1912891 2362983 2422554 2826313 3825782 4725966 5652626 5738673 6863903 8478939 11477346 13390237 13727806 16957878 20591709 26780474 40170711 41183418 48047321 80341422 96094642 116686351 144141963 233372702 288283926 350059053 700118106 816804457 1633608914 2450413371 4900826742