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620078928 = 24372299091
BaseRepresentation
bin100100111101011…
…010011101010000
31121012210021101020
4210331122131100
52232220011203
6141310235440
721236404200
oct4475323520
91535707336
10620078928
11299022527
121537b5b80
139b608c11
145c4d2400
1539687153
hex24f5a750

620078928 has 120 divisors (see below), whose sum is σ = 1927867680. Its totient is φ = 171037440.

The previous prime is 620078923. The next prime is 620078947. The reversal of 620078928 is 829870026.

It is a happy number.

620078928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 620078928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620078923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63663 + ... + 72753.

It is an arithmetic number, because the mean of its divisors is an integer number (16065564).

Almost surely, 2620078928 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 620078928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963933840).

620078928 is an abundant number, since it is smaller than the sum of its proper divisors (1307788752).

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

620078928 is a wasteful number, since it uses less digits than its factorization.

620078928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 620078928 is about 24901.3840579194. The cubic root of 620078928 is about 852.7380806936.

The spelling of 620078928 in words is "six hundred twenty million, seventy-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 812 1176 1218 1392 1421 1624 2352 2436 2842 3248 4263 4872 5684 8526 9091 9744 11368 17052 18182 22736 27273 34104 36364 54546 63637 68208 72728 109092 127274 145456 190911 218184 254548 263639 381822 436368 445459 509096 527278 763644 790917 890918 1018192 1054556 1336377 1527288 1581834 1781836 1845473 2109112 2672754 3054576 3163668 3563672 3690946 4218224 5345508 5536419 6327336 7127344 7381892 10691016 11072838 12654672 12918311 14763784 21382032 22145676 25836622 29527568 38754933 44291352 51673244 77509866 88582704 103346488 155019732 206692976 310039464 620078928