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2490076638 = 232747420479
BaseRepresentation
bin1001010001101011…
…1000110111011110
320102112111222222200
42110122320313132
520044424423023
61051030552330
7115464205440
oct22432706736
96375458880
102490076638
111068646485
12595b086a6
13308b6673a
141989ca490
15e891a743
hex946b8dde

2490076638 has 48 divisors (see below), whose sum is σ = 6297108480. Its totient is φ = 696311568.

The previous prime is 2490076627. The next prime is 2490076691. The reversal of 2490076638 is 8366700942.

2490076638 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 0 + 7 + 6 + 638 = 666.

It is a super-2 number, since 2×24900766382 = 12400963326226766088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2490076593 and 2490076602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204318 + ... + 216161.

It is an arithmetic number, because the mean of its divisors is an integer number (131189760).

Almost surely, 22490076638 is an apocalyptic number.

2490076638 is an abundant number, since it is smaller than the sum of its proper divisors (3807031842).

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

2490076638 is a wasteful number, since it uses less digits than its factorization.

2490076638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420541 (or 420538 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2490076638 is about 49900.6677109635. The cubic root of 2490076638 is about 1355.4106838275.

The spelling of 2490076638 in words is "two billion, four hundred ninety million, seventy-six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5922 420479 840958 1261437 2522874 2943353 3784311 5886706 7568622 8830059 17660118 19762513 26490177 39525026 52980354 59287539 118575078 138337591 177862617 276675182 355725234 415012773 830025546 1245038319 2490076638