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628484640 = 25357187049
BaseRepresentation
bin100101011101011…
…110101000100000
31121210121022211220
4211131132220200
52241343002030
6142210335040
721401013510
oct4535365040
91553538756
10628484640
112a28438a3
1215658a480
13a028cc04
145d67d840
153a297a10
hex2575ea20

628484640 has 96 divisors (see below), whose sum is σ = 2262556800. Its totient is φ = 143652864.

The previous prime is 628484639. The next prime is 628484651. The reversal of 628484640 is 46484826.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 628484592 and 628484601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90165 + ... + 96884.

It is an arithmetic number, because the mean of its divisors is an integer number (23568300).

Almost surely, 2628484640 is an apocalyptic number.

628484640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628484640 is an abundant number, since it is smaller than the sum of its proper divisors (1634072160).

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

628484640 is a wasteful number, since it uses less digits than its factorization.

628484640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187074 (or 187066 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 628484640 is about 25069.5959281357. The cubic root of 628484640 is about 856.5740028733.

The spelling of 628484640 in words is "six hundred twenty-eight million, four hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 187049 374098 561147 748196 935245 1122294 1309343 1496392 1870490 2244588 2618686 2805735 2992784 3740980 3928029 4489176 5237372 5611470 5985568 6546715 7481960 7856058 8978352 10474744 11222940 13093430 14963920 15712116 17956704 19640145 20949488 22445880 26186860 29927840 31424232 39280290 41898976 44891760 52373720 62848464 78560580 89783520 104747440 125696928 157121160 209494880 314242320 628484640