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4964597442 = 232743989753
BaseRepresentation
bin1001001111110100…
…11011111011000010
3110210222202200101100
410213322123323002
540131414104232
62140344315230
7234012245010
oct44772337302
913728680340
104964597442
1121184275a2
12b66772b16
1361171482c
143514c78b0
151e0cb1c7c
hex127e9bec2

4964597442 has 48 divisors (see below), whose sum is σ = 12321429120. Its totient is φ = 1415209536.

The previous prime is 4964597437. The next prime is 4964597447. The reversal of 4964597442 is 2447954694.

4964597442 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 597 + 4 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (4964597437) and next prime (4964597447).

It is a super-2 number, since 2×49645974422 = 49294455522225886728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4964597447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10438 + ... + 100190.

It is an arithmetic number, because the mean of its divisors is an integer number (256696440).

Almost surely, 24964597442 is an apocalyptic number.

4964597442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4964597442 is an abundant number, since it is smaller than the sum of its proper divisors (7356831678).

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

4964597442 is a wasteful number, since it uses less digits than its factorization.

4964597442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90207 (or 90204 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 4964597442 is about 70459.8995315775. The cubic root of 4964597442 is about 1705.9305489297.

The spelling of 4964597442 in words is "four billion, nine hundred sixty-four million, five hundred ninety-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 439 878 1317 2634 3073 3951 6146 7902 9219 18438 27657 55314 89753 179506 269259 538518 628271 807777 1256542 1615554 1884813 3769626 5654439 11308878 39401567 78803134 118204701 236409402 275810969 354614103 551621938 709228206 827432907 1654865814 2482298721 4964597442