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616690432 = 287930493
BaseRepresentation
bin100100110000011…
…111001100000000
31120222102010020101
4210300133030000
52230333043212
6141105452144
721165532201
oct4460371400
91528363211
10616690432
11297118716
12152641054
139a9c07a7
145bc8d5a8
1539218157
hex24c1f300

616690432 has 36 divisors (see below), whose sum is σ = 1246594720. Its totient is φ = 304432128.

The previous prime is 616690411. The next prime is 616690439. The reversal of 616690432 is 234096616.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 616690391 and 616690400.

It is not an unprimeable number, because it can be changed into a prime (616690439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4978 + ... + 35470.

Almost surely, 2616690432 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 616690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623297360).

616690432 is an abundant number, since it is smaller than the sum of its proper divisors (629904288).

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

616690432 is an equidigital number, since it uses as much as digits as its factorization.

616690432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30588 (or 30574 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 616690432 is about 24833.2525457299. The cubic root of 616690432 is about 851.1819460244.

The spelling of 616690432 in words is "six hundred sixteen million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 632 1264 2528 5056 10112 20224 30493 60986 121972 243944 487888 975776 1951552 2408947 3903104 4817894 7806208 9635788 19271576 38543152 77086304 154172608 308345216 616690432