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1689725448 = 23342607601
BaseRepresentation
bin110010010110111…
…0010101000001000
311100202111221120000
41210231302220020
511430032203243
6435400403000
756605300155
oct14455625010
94322457500
101689725448
11797895814
123b1a76460
1320c0bca58
141205ad22c
159d5245d3
hex64b72a08

1689725448 has 40 divisors (see below), whose sum is σ = 4732797630. Its totient is φ = 563241600.

The previous prime is 1689725447. The next prime is 1689725467. The reversal of 1689725448 is 8445279861.

It is a happy number.

1689725448 is a `hidden beast` number, since 1 + 6 + 8 + 97 + 2 + 544 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1471336164 + 218389284 = 38358^2 + 14778^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1689725394 and 1689725403.

It is not an unprimeable number, because it can be changed into a prime (1689725441) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1303153 + ... + 1304448.

Almost surely, 21689725448 is an apocalyptic number.

1689725448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1689725448 is an abundant number, since it is smaller than the sum of its proper divisors (3043072182).

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

1689725448 is a wasteful number, since it uses less digits than its factorization.

1689725448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607619 (or 2607606 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1689725448 is about 41106.2701786479. The cubic root of 1689725448 is about 1191.0739188556.

The spelling of 1689725448 in words is "one billion, six hundred eighty-nine million, seven hundred twenty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2607601 5215202 7822803 10430404 15645606 20860808 23468409 31291212 46936818 62582424 70405227 93873636 140810454 187747272 211215681 281620908 422431362 563241816 844862724 1689725448