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4960762640 = 24565394961
BaseRepresentation
bin1001001111010111…
…10011101100010000
3110210201112212000122
410213223303230100
540124423401030
62140130205412
7233634533561
oct44753635420
913721485018
104960762640
112116248439
12b65423868
136109a1212
14350baa168
151e07a58e5
hex127af3b10

4960762640 has 40 divisors (see below), whose sum is σ = 11551557528. Its totient is φ = 1981245440.

The previous prime is 4960762633. The next prime is 4960762643. The reversal of 4960762640 is 462670694.

It can be written as a sum of positive squares in 4 ways, for example, as 862714384 + 4098048256 = 29372^2 + 64016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4960762591 and 4960762600.

It is not an unprimeable number, because it can be changed into a prime (4960762643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4760 + ... + 99720.

Almost surely, 24960762640 is an apocalyptic number.

4960762640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4960762640 is an abundant number, since it is smaller than the sum of its proper divisors (6590794888).

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

4960762640 is a wasteful number, since it uses less digits than its factorization.

4960762640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95627 (or 95621 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 4960762640 is about 70432.6816186918. The cubic root of 4960762640 is about 1705.4911987059.

The spelling of 4960762640 in words is "four billion, nine hundred sixty million, seven hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 653 1306 2612 3265 5224 6530 10448 13060 26120 52240 94961 189922 379844 474805 759688 949610 1519376 1899220 3798440 7596880 62009533 124019066 248038132 310047665 496076264 620095330 992152528 1240190660 2480381320 4960762640