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761439072 = 253131191317
BaseRepresentation
bin101101011000101…
…010001101100000
31222001210010001010
4231120222031200
53024412022242
6203320140520
724604060662
oct5530521540
91861703033
10761439072
113608a3499
12193007740
13c19a1384
14731ac532
1546cab89c
hex2d62a360

761439072 has 96 divisors (see below), whose sum is σ = 2030966784. Its totient is φ = 249766400.

The previous prime is 761439067. The next prime is 761439113. The reversal of 761439072 is 270934167.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 761439072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2401858 + ... + 2402174.

It is an arithmetic number, because the mean of its divisors is an integer number (21155904).

Almost surely, 2761439072 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 761439072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015483392).

761439072 is an abundant number, since it is smaller than the sum of its proper divisors (1269527712).

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

761439072 is a wasteful number, since it uses less digits than its factorization.

761439072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 761439072 is about 27594.1854744799. The cubic root of 761439072 is about 913.1561591197.

The spelling of 761439072 in words is "seven hundred sixty-one million, four hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 191 262 317 382 393 524 573 634 764 786 951 1048 1146 1268 1528 1572 1902 2096 2292 2536 3056 3144 3804 4192 4584 5072 6112 6288 7608 9168 10144 12576 15216 18336 25021 30432 41527 50042 60547 75063 83054 100084 121094 124581 150126 166108 181641 200168 242188 249162 300252 332216 363282 400336 484376 498324 600504 664432 726564 800672 968752 996648 1201008 1328864 1453128 1937504 1993296 2402016 2906256 3986592 5812512 7931657 15863314 23794971 31726628 47589942 63453256 95179884 126906512 190359768 253813024 380719536 761439072