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780140472 = 233172137821
BaseRepresentation
bin101110011111111…
…111111110111000
32000100222020112120
4232133333332320
53044203443342
6205225041240
725222041006
oct5637777670
92010866476
10780140472
113704070a1
12199326220
13c581b6a7
1475879a76
1548752aec
hex2e7fffb8

780140472 has 96 divisors (see below), whose sum is σ = 2089491120. Its totient is φ = 242667520.

The previous prime is 780140441. The next prime is 780140479. The reversal of 780140472 is 274041087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780140479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949822 + ... + 950642.

Almost surely, 2780140472 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 780140472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044745560).

780140472 is an abundant number, since it is smaller than the sum of its proper divisors (1309350648).

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

780140472 is a wasteful number, since it uses less digits than its factorization.

780140472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 780140472 is about 27930.9948265363. The cubic root of 780140472 is about 920.5716642427.

The spelling of 780140472 in words is "seven hundred eighty million, one hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 137 204 274 289 408 411 548 578 821 822 867 1096 1156 1642 1644 1734 2312 2329 2463 3284 3288 3468 4658 4926 6568 6936 6987 9316 9852 13957 13974 18632 19704 27914 27948 39593 41871 55828 55896 79186 83742 111656 112477 118779 158372 167484 224954 237269 237558 316744 334968 337431 449908 474538 475116 674862 711807 899816 949076 950232 1349724 1423614 1898152 1912109 2699448 2847228 3824218 5694456 5736327 7648436 11472654 15296872 22945308 32505853 45890616 65011706 97517559 130023412 195035118 260046824 390070236 780140472