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4902088040 = 235177619473
BaseRepresentation
bin1001001000010111…
…11110110101101000
3110122122010212121022
410210023332311220
540014413304130
62130232432012
7232323026603
oct44413766550
913578125538
104902088040
112096112333
12b49848608
13601799615
1434709533a
151da5657e5
hex1242fed68

4902088040 has 64 divisors (see below), whose sum is σ = 11695084560. Its totient is φ = 1842872320.

The previous prime is 4902088019. The next prime is 4902088067. The reversal of 4902088040 is 408802094.

It can be written as a sum of positive squares in 8 ways, for example, as 2549644036 + 2352444004 = 50494^2 + 48502^2 .

It is a super-2 number, since 2×49020880402 = 48060934303822083200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512744 + ... + 522216.

Almost surely, 24902088040 is an apocalyptic number.

4902088040 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 4902088040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847542280).

4902088040 is an abundant number, since it is smaller than the sum of its proper divisors (6792996520).

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

4902088040 is a wasteful number, since it uses less digits than its factorization.

4902088040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 4902088040 is about 70014.9129828782. The cubic root of 4902088040 is about 1698.7404788225.

The spelling of 4902088040 in words is "four billion, nine hundred two million, eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 761 1522 3044 3805 6088 7610 9473 12937 15220 18946 25874 30440 37892 47365 51748 64685 75784 94730 103496 129370 161041 189460 258740 322082 378920 517480 644164 805205 1288328 1610410 3220820 6441640 7208953 14417906 28835812 36044765 57671624 72089530 122552201 144179060 245104402 288358120 490208804 612761005 980417608 1225522010 2451044020 4902088040