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620790624 = 25323122243
BaseRepresentation
bin100101000000001…
…000001101100000
31121021010102122100
4211000020031200
52232410244444
6141333410400
721245430126
oct4500101540
91537112570
10620790624
11299469203
12153a99a00
139b7c7b3c
145c639916
1539777e69
hex25008360

620790624 has 108 divisors (see below), whose sum is σ = 1824971148. Its totient is φ = 200165760.

The previous prime is 620790623. The next prime is 620790637. The reversal of 620790624 is 426097026.

It is a happy number.

620790624 is a `hidden beast` number, since 6 + 20 + 7 + 9 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620790623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 275647 + ... + 277889.

It is an arithmetic number, because the mean of its divisors is an integer number (16897881).

Almost surely, 2620790624 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 620790624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912485574).

620790624 is an abundant number, since it is smaller than the sum of its proper divisors (1204180524).

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

620790624 is a wasteful number, since it uses less digits than its factorization.

620790624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 620790624 is about 24915.6702498648. The cubic root of 620790624 is about 853.0641995232.

The spelling of 620790624 in words is "six hundred twenty million, seven hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 961 992 1116 1488 1922 2232 2243 2883 2976 3844 4464 4486 5766 6729 7688 8649 8928 8972 11532 13458 15376 17298 17944 20187 23064 26916 30752 34596 35888 40374 46128 53832 69192 69533 71776 80748 92256 107664 138384 139066 161496 208599 215328 276768 278132 322992 417198 556264 625797 645984 834396 1112528 1251594 1668792 2155523 2225056 2503188 3337584 4311046 5006376 6466569 6675168 8622092 10012752 12933138 17244184 19399707 20025504 25866276 34488368 38799414 51732552 68976736 77598828 103465104 155197656 206930208 310395312 620790624