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628989936 = 243173783251
BaseRepresentation
bin100101011111011…
…001111111110000
31121211112222222120
4211133121333300
52242010134221
6142225234240
721405216621
oct4537317760
91554488876
10628989936
112a30594a3
12156792980
13a0408bc3
145d771a48
153a3475c6
hex257d9ff0

628989936 has 160 divisors (see below), whose sum is σ = 1795385088. Its totient is φ = 188928000.

The previous prime is 628989917. The next prime is 628989937. The reversal of 628989936 is 639989826.

It is a self number, because there is not a number n which added to its sum of digits gives 628989936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628989937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2505811 + ... + 2506061.

Almost surely, 2628989936 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 628989936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897692544).

628989936 is an abundant number, since it is smaller than the sum of its proper divisors (1166395152).

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

628989936 is a wasteful number, since it uses less digits than its factorization.

628989936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The square root of 628989936 is about 25079.6717681871. The cubic root of 628989936 is about 856.8035006452.

The spelling of 628989936 in words is "six hundred twenty-eight million, nine hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 83 102 111 136 148 166 204 222 249 251 272 296 332 408 444 498 502 592 629 664 753 816 888 996 1004 1258 1328 1411 1506 1776 1887 1992 2008 2516 2822 3012 3071 3774 3984 4016 4233 4267 5032 5644 6024 6142 7548 8466 8534 9213 9287 10064 11288 12048 12284 12801 15096 16932 17068 18426 18574 20833 22576 24568 25602 27861 30192 33864 34136 36852 37148 41666 49136 51204 52207 55722 62499 67728 68272 73704 74296 83332 102408 104414 111444 124998 147408 148592 156621 157879 166664 204816 208828 222888 249996 313242 315758 333328 354161 417656 445776 473637 499992 626484 631516 708322 770821 835312 947274 999984 1062483 1252968 1263032 1416644 1541642 1894548 2124966 2312463 2505936 2526064 2833288 3083284 3789096 4249932 4624926 5666576 6166568 7578192 8499864 9249852 12333136 13103957 16999728 18499704 26207914 36999408 39311871 52415828 78623742 104831656 157247484 209663312 314494968 628989936