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689934456 = 23334317411
BaseRepresentation
bin101001000111111…
…001000001111000
31210002020022011000
4221013321001320
52403110400311
6152243405000
723045226501
oct5107710170
91702208130
10689934456
113244a4a72
12173083760
13acc26a53
14678b7ba8
1540885056
hex291f9078

689934456 has 64 divisors (see below), whose sum is σ = 1921190400. Its totient is φ = 229413600.

The previous prime is 689934437. The next prime is 689934467. The reversal of 689934456 is 654439986.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89391 + ... + 96801.

It is an arithmetic number, because the mean of its divisors is an integer number (30018600).

Almost surely, 2689934456 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 689934456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960595200).

689934456 is an abundant number, since it is smaller than the sum of its proper divisors (1231255944).

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

689934456 is a wasteful number, since it uses less digits than its factorization.

689934456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7847 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 689934456 is about 26266.6034347801. The cubic root of 689934456 is about 883.6276114886.

The spelling of 689934456 in words is "six hundred eighty-nine million, nine hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 431 862 1293 1724 2586 3448 3879 5172 7411 7758 10344 11637 14822 15516 22233 23274 29644 31032 44466 46548 59288 66699 88932 93096 133398 177864 200097 266796 400194 533592 800388 1600776 3194141 6388282 9582423 12776564 19164846 25553128 28747269 38329692 57494538 76659384 86241807 114989076 172483614 229978152 344967228 689934456