Search a number
-
+
761072256 = 2732794379
BaseRepresentation
bin101101010111010…
…000101010000000
31222001002110212100
4231113100222000
53024313303011
6203304230400
724601002360
oct5527205200
91861073770
10761072256
1136067293a
12192a6b400
13c18a3419
14731149a0
1546c37d56
hex2d5d0a80

761072256 has 96 divisors (see below), whose sum is σ = 2502957600. Its totient is φ = 217446912.

The previous prime is 761072251. The next prime is 761072281. The reversal of 761072256 is 652270167.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 761072256.

It is not an unprimeable number, because it can be changed into a prime (761072251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39126 + ... + 55253.

It is an arithmetic number, because the mean of its divisors is an integer number (26072475).

Almost surely, 2761072256 is an apocalyptic number.

It is an amenable number.

761072256 is an abundant number, since it is smaller than the sum of its proper divisors (1741885344).

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

761072256 is a wasteful number, since it uses less digits than its factorization.

761072256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94406 (or 94391 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 761072256 is about 27587.5380561586. The cubic root of 761072256 is about 913.0095008143.

The spelling of 761072256 in words is "seven hundred sixty-one million, seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 94379 188758 283137 377516 566274 660653 755032 849411 1132548 1321306 1510064 1698822 1981959 2265096 2642612 3020128 3397644 3963918 4530192 5285224 5945877 6040256 6795288 7927836 9060384 10570448 11891754 12080512 13590576 15855672 18120768 21140896 23783508 27181152 31711344 36241536 42281792 47567016 54362304 63422688 84563584 95134032 108724608 126845376 190268064 253690752 380536128 761072256