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842145744 = 2431112491277
BaseRepresentation
bin110010001100100…
…001111111010000
32011200122102210010
4302030201333100
53211042130434
6215322034520
726604056256
oct6214417720
92150572703
10842145744
113a2407620
121b6048a40
1310561b2bb
147dbba5d6
154ddee9e9
hex32321fd0

842145744 has 80 divisors (see below), whose sum is σ = 2377080000. Its totient is φ = 254791680.

The previous prime is 842145743. The next prime is 842145749. The reversal of 842145744 is 447541248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842145743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658834 + ... + 660110.

It is an arithmetic number, because the mean of its divisors is an integer number (29713500).

Almost surely, 2842145744 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 842145744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188540000).

842145744 is an abundant number, since it is smaller than the sum of its proper divisors (1534934256).

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

842145744 is a wasteful number, since it uses less digits than its factorization.

842145744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its digits is 143360, while the sum is 39.

The square root of 842145744 is about 29019.7474833948. The cubic root of 842145744 is about 944.3415227462.

The spelling of 842145744 in words is "eight hundred forty-two million, one hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1249 1277 2498 2554 3747 3831 4996 5108 7494 7662 9992 10216 13739 14047 14988 15324 19984 20432 27478 28094 29976 30648 41217 42141 54956 56188 59952 61296 82434 84282 109912 112376 164868 168564 219824 224752 329736 337128 659472 674256 1594973 3189946 4784919 6379892 9569838 12759784 17544703 19139676 25519568 35089406 38279352 52634109 70178812 76558704 105268218 140357624 210536436 280715248 421072872 842145744