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689769400 = 235210134147
BaseRepresentation
bin101001000111010…
…000101110111000
31210001220220201211
4221013100232320
52403040110100
6152240052504
723043641335
oct5107205670
91701826654
10689769400
113243a1a61
12173004134
13acb99898
146787398c
15408511ba
hex291d0bb8

689769400 has 48 divisors (see below), whose sum is σ = 1619639640. Its totient is φ = 273168000.

The previous prime is 689769391. The next prime is 689769403. The reversal of 689769400 is 4967986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689769403) 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, 3127 + ... + 37273.

Almost surely, 2689769400 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 689769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809819820).

689769400 is an abundant number, since it is smaller than the sum of its proper divisors (929870240).

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

689769400 is a wasteful number, since it uses less digits than its factorization.

689769400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34264 (or 34255 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 689769400 is about 26263.4613103452. The cubic root of 689769400 is about 883.5571411853.

The spelling of 689769400 in words is "six hundred eighty-nine million, seven hundred sixty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 34147 68294 136588 170735 273176 341470 682940 853675 1365880 1707350 3414700 3448847 6829400 6897694 13795388 17244235 27590776 34488470 68976940 86221175 137953880 172442350 344884700 689769400