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1913339808 = 253271137683
BaseRepresentation
bin111001000001011…
…0011111110100000
311221100021201210100
41302002303332200
512404303333213
6513505302400
765262056112
oct16202637640
94840251710
101913339808
118a2037576
12454934a00
13246524643
1414217b3b2
15b2e95773
hex720b3fa0

1913339808 has 144 divisors (see below), whose sum is σ = 5566107456. Its totient is φ = 623293440.

The previous prime is 1913339773. The next prime is 1913339833. The reversal of 1913339808 is 8089333191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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, 2801035 + ... + 2801717.

It is an arithmetic number, because the mean of its divisors is an integer number (38653524).

Almost surely, 21913339808 is an apocalyptic number.

1913339808 is a gapful number since it is divisible by the number (18) 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 1913339808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783053728).

1913339808 is an abundant number, since it is smaller than the sum of its proper divisors (3652767648).

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

1913339808 is a wasteful number, since it uses less digits than its factorization.

1913339808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1913339808 is about 43741.7398830911. The cubic root of 1913339808 is about 1241.4542009710.

The spelling of 1913339808 in words is "one billion, nine hundred thirteen million, three hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 137 142 144 213 274 284 288 411 426 548 568 639 683 822 852 1096 1136 1233 1278 1366 1644 1704 2049 2192 2272 2466 2556 2732 3288 3408 4098 4384 4932 5112 5464 6147 6576 6816 8196 9727 9864 10224 10928 12294 13152 16392 19454 19728 20448 21856 24588 29181 32784 38908 39456 48493 49176 58362 65568 77816 87543 93571 96986 98352 116724 145479 155632 175086 187142 193972 196704 233448 280713 290958 311264 350172 374284 387944 436437 466896 561426 581916 700344 748568 775888 842139 872874 933792 1122852 1163832 1400688 1497136 1551776 1684278 1745748 2245704 2327664 2801376 2994272 3368556 3491496 4491408 4655328 6643541 6737112 6982992 8982816 13287082 13474224 13965984 19930623 26574164 26948448 39861246 53148328 59791869 79722492 106296656 119583738 159444984 212593312 239167476 318889968 478334952 637779936 956669904 1913339808