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799242496 = 28133161127
BaseRepresentation
bin101111101000110…
…111100100000000
32001200220201120221
4233220313210000
53114101224441
6211150312424
725543310023
oct5750674400
92050821527
10799242496
11380173798
121a37b8714
13c9779170
147820d1ba
154a2778d1
hex2fa37900

799242496 has 144 divisors (see below), whose sum is σ = 1816772608. Its totient is φ = 348364800.

The previous prime is 799242427. The next prime is 799242503. The reversal of 799242496 is 694242997.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 6293185 + ... + 6293311.

Almost surely, 2799242496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908386304).

799242496 is an abundant number, since it is smaller than the sum of its proper divisors (1017530112).

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

799242496 is a wasteful number, since it uses less digits than its factorization.

799242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 52.

The square root of 799242496 is about 28270.8771706857. The cubic root of 799242496 is about 928.0246723524.

The spelling of 799242496 in words is "seven hundred ninety-nine million, two hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 61 62 64 104 122 124 127 128 208 244 248 254 256 403 416 488 496 508 793 806 832 976 992 1016 1586 1612 1651 1664 1891 1952 1984 2032 3172 3224 3302 3328 3782 3904 3937 3968 4064 6344 6448 6604 7564 7747 7808 7874 7936 8128 12688 12896 13208 15128 15494 15616 15748 16256 24583 25376 25792 26416 30256 30988 31496 32512 49166 50752 51181 51584 52832 60512 61976 62992 98332 100711 101504 102362 103168 105664 121024 123952 125984 196664 201422 203008 204724 211328 240157 242048 247904 251968 393328 402844 409448 422656 480314 484096 495808 503936 786656 805688 818896 960628 991616 1007872 1573312 1611376 1637792 1921256 1983232 3122041 3146624 3222752 3275584 3842512 6244082 6293248 6445504 6551168 7685024 12488164 12891008 13102336 15370048 24976328 25782016 30740096 49952656 61480192 99905312 199810624 399621248 799242496