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624085940 = 22575741221
BaseRepresentation
bin100101001100101…
…100101110110100
31121111022211222002
4211030230232310
52234231222230
6141532154432
721315433352
oct4514545664
91544284862
10624085940
112a030a005
12155008a18
139c3aca2a
145cc567d2
1539bc9545
hex2532cbb4

624085940 has 24 divisors (see below), whose sum is σ = 1312343592. Its totient is φ = 249298560.

The previous prime is 624085939. The next prime is 624085967. The reversal of 624085940 is 49580426.

624085940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23541904 + 600544036 = 4852^2 + 24506^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 624085894 and 624085903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5471 + ... + 35750.

It is an arithmetic number, because the mean of its divisors is an integer number (54680983).

Almost surely, 2624085940 is an apocalyptic number.

It is an amenable number.

624085940 is an abundant number, since it is smaller than the sum of its proper divisors (688257652).

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

624085940 is a wasteful number, since it uses less digits than its factorization.

624085940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41987 (or 41985 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 624085940 is about 24981.7121110624. The cubic root of 624085940 is about 854.5709644840.

The spelling of 624085940 in words is "six hundred twenty-four million, eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 757 1514 3028 3785 7570 15140 41221 82442 164884 206105 412210 824420 31204297 62408594 124817188 156021485 312042970 624085940