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761051968 = 26231015119
BaseRepresentation
bin101101010111001…
…011101101000000
31222001001110000221
4231113023231000
53024312130333
6203303552424
724600556255
oct5527135500
91861043027
10761051968
11360659676
12192a5b714
13c1897111
147310b42c
1546c31d2d
hex2d5cbb40

761051968 has 56 divisors (see below), whose sum is σ = 1591787520. Its totient is φ = 360307200.

The previous prime is 761051939. The next prime is 761051981. The reversal of 761051968 is 869150167.

It is a happy number.

761051968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×7610519683 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146113 + ... + 151231.

Almost surely, 2761051968 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 761051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795893760).

761051968 is an abundant number, since it is smaller than the sum of its proper divisors (830735552).

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

761051968 is a wasteful number, since it uses less digits than its factorization.

761051968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 761051968 is about 27587.1703514514. The cubic root of 761051968 is about 913.0013880054.

The spelling of 761051968 in words is "seven hundred sixty-one million, fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 101 184 202 368 404 736 808 1472 1616 2323 3232 4646 5119 6464 9292 10238 18584 20476 37168 40952 74336 81904 117737 148672 163808 235474 327616 470948 517019 941896 1034038 1883792 2068076 3767584 4136152 7535168 8272304 11891437 16544608 23782874 33089216 47565748 95131496 190262992 380525984 761051968