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681989152 = 25139716901
BaseRepresentation
bin101000101001100…
…101010000100000
31202112021122020111
4220221211100200
52344042123102
6151401221104
722620545365
oct5051452040
91675248214
10681989152
1131aa685a9
12170491794
13ab3a44a0
146680a46c
153ed15cd7
hex28a65420

681989152 has 48 divisors (see below), whose sum is σ = 1460941272. Its totient is φ = 311500800.

The previous prime is 681989093. The next prime is 681989167. The reversal of 681989152 is 251989186.

It can be written as a sum of positive squares in 4 ways, for example, as 646990096 + 34999056 = 25436^2 + 5916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 681989096 and 681989105.

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, 31902 + ... + 48802.

Almost surely, 2681989152 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 681989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730470636).

681989152 is an abundant number, since it is smaller than the sum of its proper divisors (778952120).

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

681989152 is a wasteful number, since it uses less digits than its factorization.

681989152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17021 (or 17013 counting only the distinct ones).

The product of its digits is 311040, while the sum is 49.

The square root of 681989152 is about 26114.9220178809. The cubic root of 681989152 is about 880.2225470202. Note that the first 3 decimals are identical.

The spelling of 681989152 in words is "six hundred eighty-one million, nine hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 388 416 776 1261 1552 2522 3104 5044 10088 16901 20176 33802 40352 67604 135208 219713 270416 439426 540832 878852 1639397 1757704 3278794 3515408 6557588 7030816 13115176 21312161 26230352 42624322 52460704 85248644 170497288 340994576 681989152