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2490657768 = 233373315731
BaseRepresentation
bin1001010001110100…
…0110101111101000
320102120121112011000
42110131012233220
520100102022033
61051051235000
7115502145624
oct22435065750
96376545130
102490657768
111068a03055
12596148a60
1330900b0c1
14198adc184
15e89d2a13
hex94746be8

2490657768 has 64 divisors (see below), whose sum is σ = 6928372800. Its totient is φ = 829033920.

The previous prime is 2490657761. The next prime is 2490657781. The reversal of 2490657768 is 8677560942.

2490657768 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 6 + 577 + 68 = 666.

2490657768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24906577682 = 12406752234597483648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2490657761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150463 + ... + 166193.

It is an arithmetic number, because the mean of its divisors is an integer number (108255825).

Almost surely, 22490657768 is an apocalyptic number.

It is an amenable number.

2490657768 is an abundant number, since it is smaller than the sum of its proper divisors (4437715032).

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

2490657768 is a wasteful number, since it uses less digits than its factorization.

2490657768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16479 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2490657768 is about 49906.4902392464. The cubic root of 2490657768 is about 1355.5161167998.

The spelling of 2490657768 in words is "two billion, four hundred ninety million, six hundred fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 733 1466 2199 2932 4398 5864 6597 8796 13194 15731 17592 19791 26388 31462 39582 47193 52776 62924 79164 94386 125848 141579 158328 188772 283158 377544 424737 566316 849474 1132632 1698948 3397896 11530823 23061646 34592469 46123292 69184938 92246584 103777407 138369876 207554814 276739752 311332221 415109628 622664442 830219256 1245328884 2490657768