Search a number
-
+
628064976 = 2437111091559
BaseRepresentation
bin100101011011111…
…000001011010000
31121202211000011210
4211123320023100
52241241034401
6142153340120
721364315140
oct4533701320
91552730153
10628064976
112a2587570
12156407640
13a0173ba6
145d5b0920
153a2134d6
hex256f82d0

628064976 has 160 divisors (see below), whose sum is σ = 2042726400. Its totient is φ = 161533440.

The previous prime is 628064953. The next prime is 628064981. The reversal of 628064976 is 679460826.

It is a super-2 number, since 2×6280649762 = 788931228155761152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402085 + ... + 403643.

It is an arithmetic number, because the mean of its divisors is an integer number (12767040).

Almost surely, 2628064976 is an apocalyptic number.

628064976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628064976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021363200).

628064976 is an abundant number, since it is smaller than the sum of its proper divisors (1414661424).

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

628064976 is a wasteful number, since it uses less digits than its factorization.

628064976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 628064976 is about 25061.2245510869. The cubic root of 628064976 is about 856.3833043313.

The spelling of 628064976 in words is "six hundred twenty-eight million, sixty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 109 112 132 154 168 176 218 231 264 308 327 336 436 462 528 616 654 763 872 924 1199 1232 1308 1526 1559 1744 1848 2289 2398 2616 3052 3118 3597 3696 4578 4677 4796 5232 6104 6236 7194 8393 9156 9354 9592 10913 12208 12472 14388 16786 17149 18312 18708 19184 21826 24944 25179 28776 32739 33572 34298 36624 37416 43652 50358 51447 57552 65478 67144 68596 74832 87304 100716 102894 120043 130956 134288 137192 169931 174608 201432 205788 240086 261912 274384 339862 360129 402864 411576 480172 509793 523824 679724 720258 823152 960344 1019586 1189517 1359448 1440516 1869241 1920688 2039172 2379034 2718896 2881032 3568551 3738482 4078344 4758068 5607723 5762064 7137102 7476964 8156688 9516136 11215446 13084687 14274204 14953928 19032272 22430892 26169374 28548408 29907856 39254061 44861784 52338748 57096816 78508122 89723568 104677496 157016244 209354992 314032488 628064976