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4090880904 = 2331194716363
BaseRepresentation
bin1111001111010101…
…1110001110001000
3101120002201021121120
43303311132032020
531334231142104
61513533435240
7203242625325
oct36365361610
911502637546
104090880904
11180a217410
1296203bb20
135026c15b6
142ab44db4c
1518e227cd9
hexf3d5e388

4090880904 has 64 divisors (see below), whose sum is σ = 11169411840. Its totient is φ = 1238276160.

The previous prime is 4090880873. The next prime is 4090880917.

4090880904 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241827 + ... + 258189.

It is an arithmetic number, because the mean of its divisors is an integer number (174522060).

Almost surely, 24090880904 is an apocalyptic number.

4090880904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4090880904 is an abundant number, since it is smaller than the sum of its proper divisors (7078530936).

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

4090880904 is a wasteful number, since it uses less digits than its factorization.

4090880904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17330 (or 17326 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4090880904 is about 63959.9945590992. The cubic root of 4090880904 is about 1599.3331731690. Note that the first 3 decimals are identical.

The spelling of 4090880904 in words is "four billion, ninety million, eight hundred eighty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 947 1894 2841 3788 5682 7576 10417 11364 16363 20834 22728 31251 32726 41668 49089 62502 65452 83336 98178 125004 130904 179993 196356 250008 359986 392712 539979 719972 1079958 1439944 2159916 4319832 15495761 30991522 46487283 61983044 92974566 123966088 170453371 185949132 340906742 371898264 511360113 681813484 1022720226 1363626968 2045440452 4090880904