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688379652 = 2232193532851
BaseRepresentation
bin101001000001111…
…101011100000100
31202222022022100200
4221001331130010
52402211122102
6152150210500
723026062522
oct5101753404
91688268320
10688379652
11323632904
12172653a30
13ac80114c
14675d1312
154067951c
hex2907d704

688379652 has 72 divisors (see below), whose sum is σ = 1837486560. Its totient is φ = 216691200.

The previous prime is 688379639. The next prime is 688379663. The reversal of 688379652 is 256973886.

It is a happy number.

It is a super-2 number, since 2×6883796522 = 947733090575282208, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 240027 + ... + 242877.

Almost surely, 2688379652 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 688379652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918743280).

688379652 is an abundant number, since it is smaller than the sum of its proper divisors (1149106908).

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

688379652 is a wasteful number, since it uses less digits than its factorization.

688379652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3228 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 688379652 is about 26236.9901474998. The cubic root of 688379652 is about 882.9633449751.

The spelling of 688379652 in words is "six hundred eighty-eight million, three hundred seventy-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 353 684 706 1059 1412 2118 2851 3177 4236 5702 6354 6707 8553 11404 12708 13414 17106 20121 25659 26828 34212 40242 51318 54169 60363 80484 102636 108338 120726 162507 216676 241452 325014 487521 650028 975042 1006403 1950084 2012806 3019209 4025612 6038418 9057627 12076836 18115254 19121657 36230508 38243314 57364971 76486628 114729942 172094913 229459884 344189826 688379652