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4290990924 = 2231132507507
BaseRepresentation
bin1111111111000011…
…0101001101001100
3102002001020220221210
43333300311031030
532241443202144
61545442454420
7211222551423
oct37760651514
912061226853
104290990924
111902174aa0
129b9064410
13534cb69ac
142c9c602ba
151a1aa4ab9
hexffc3534c

4290990924 has 24 divisors (see below), whose sum is σ = 10922522688. Its totient is φ = 1300300240.

The previous prime is 4290990919. The next prime is 4290990971.

4290990924 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16253622 + ... + 16253885.

It is an arithmetic number, because the mean of its divisors is an integer number (455105112).

Almost surely, 24290990924 is an apocalyptic number.

4290990924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4290990924 is an abundant number, since it is smaller than the sum of its proper divisors (6631531764).

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

4290990924 is a wasteful number, since it uses less digits than its factorization.

4290990924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32507525 (or 32507523 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 4290990924 is about 65505.6556642249. The cubic root of 4290990924 is about 1624.9968819191.

The spelling of 4290990924 in words is "four billion, two hundred ninety million, nine hundred ninety thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 32507507 65015014 97522521 130030028 195045042 357582577 390090084 715165154 1072747731 1430330308 2145495462 4290990924