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768500172 = 2232112338329
BaseRepresentation
bin101101110011100…
…110000111001100
31222120001212001100
4231303212013030
53033214001142
6204131343100
725021100166
oct5563460714
91876055040
10768500172
11364886610
12195451a90
13c32a433b
14740c9936
1547703b4c
hex2dce61cc

768500172 has 72 divisors (see below), whose sum is σ = 2128548240. Its totient is φ = 231851520.

The previous prime is 768500111. The next prime is 768500177. The reversal of 768500172 is 271005867.

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

It is not an unprimeable number, because it can be changed into a prime (768500177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88104 + ... + 96432.

It is an arithmetic number, because the mean of its divisors is an integer number (29563170).

Almost surely, 2768500172 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 768500172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064274120).

768500172 is an abundant number, since it is smaller than the sum of its proper divisors (1360048068).

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

768500172 is a wasteful number, since it uses less digits than its factorization.

768500172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 768500172 is about 27721.8356535061. The cubic root of 768500172 is about 915.9701543767.

The spelling of 768500172 in words is "seven hundred sixty-eight million, five hundred thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 233 396 466 699 932 1398 2097 2563 2796 4194 5126 7689 8329 8388 10252 15378 16658 23067 24987 30756 33316 46134 49974 74961 91619 92268 99948 149922 183238 274857 299844 366476 549714 824571 1099428 1649142 1940657 3298284 3881314 5821971 7762628 11643942 17465913 21347227 23287884 34931826 42694454 64041681 69863652 85388908 128083362 192125043 256166724 384250086 768500172