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688903452 = 2232233126839
BaseRepresentation
bin101001000011111…
…101010100011100
31210000021220212200
4221003331110130
52402324402302
6152205331500
723033403606
oct5103752434
91700256780
10688903452
113239603a6
12172866b90
13ac9556a3
14676ca176
154072e81c
hex290fd51c

688903452 has 72 divisors (see below), whose sum is σ = 1875793920. Its totient is φ = 212556960.

The previous prime is 688903367. The next prime is 688903471. The reversal of 688903452 is 254309886.

688903452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 688903398 and 688903407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12249 + ... + 39087.

Almost surely, 2688903452 is an apocalyptic number.

688903452 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688903452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937896960).

688903452 is an abundant number, since it is smaller than the sum of its proper divisors (1186890468).

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

688903452 is a wasteful number, since it uses less digits than its factorization.

688903452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26903 (or 26898 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 688903452 is about 26246.9703394506. The cubic root of 688903452 is about 883.1872422297.

The spelling of 688903452 in words is "six hundred eighty-eight million, nine hundred three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 25668 26839 53678 80517 107356 161034 241551 322068 483102 617297 832009 966204 1234594 1664018 1851891 2469188 2496027 3328036 3703782 4992054 5555673 7407564 7488081 9984108 11111346 14976162 19136207 22222692 29952324 38272414 57408621 76544828 114817242 172225863 229634484 344451726 688903452