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4800400880 = 245117176831
BaseRepresentation
bin1000111100010000…
…00100110111110000
3110101112210122001012
410132020010313300
534312400312010
62112201130052
7226646506562
oct43610046760
913345718035
104800400880
112043779260
12b1b789928
135b66b4bc2
14337785332
151d167b005
hex11e204df0

4800400880 has 80 divisors (see below), whose sum is σ = 12347209728. Its totient is φ = 1720992000.

The previous prime is 4800400879. The next prime is 4800400897. The reversal of 4800400880 is 880040084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 24065 + ... + 100895.

Almost surely, 24800400880 is an apocalyptic number.

4800400880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173604864).

4800400880 is an abundant number, since it is smaller than the sum of its proper divisors (7546808848).

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

4800400880 is a wasteful number, since it uses less digits than its factorization.

4800400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76926 (or 76920 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4800400880 is about 69284.9253445510. The cubic root of 4800400880 is about 1686.9122897527.

The spelling of 4800400880 in words is "four billion, eight hundred million, four hundred thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2840 3124 3905 5680 6248 7810 12496 15620 31240 62480 76831 153662 307324 384155 614648 768310 845141 1229296 1536620 1690282 3073240 3380564 4225705 5455001 6146480 6761128 8451410 10910002 13522256 16902820 21820004 27275005 33805640 43640008 54550010 60005011 67611280 87280016 109100020 120010022 218200040 240020044 300025055 436400080 480040088 600050110 960080176 1200100220 2400200440 4800400880