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628625940 = 223541475437
BaseRepresentation
bin100101011110000…
…001001000010100
31121210212111200020
4211132001020110
52241412012230
6142213345140
721402142455
oct4536011024
91553774606
10628625940
112a292aa78
121566381b0
13a030c317
145d6b912c
153a2c4810
hex25781214

628625940 has 96 divisors (see below), whose sum is σ = 1841785344. Its totient is φ = 160035840.

The previous prime is 628625939. The next prime is 628625993. The reversal of 628625940 is 49526826.

It is a junction number, because it is equal to n+sod(n) for n = 628625892 and 628625901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112902 + ... + 118338.

It is an arithmetic number, because the mean of its divisors is an integer number (19185264).

Almost surely, 2628625940 is an apocalyptic number.

628625940 is a gapful number since it is divisible by the number (60) 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 628625940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920892672).

628625940 is an abundant number, since it is smaller than the sum of its proper divisors (1213159404).

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

628625940 is a wasteful number, since it uses less digits than its factorization.

628625940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 628625940 is about 25072.4139244709. The cubic root of 628625940 is about 856.6381915739.

The spelling of 628625940 in words is "six hundred twenty-eight million, six hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 47 60 82 94 123 141 164 188 205 235 246 282 410 470 492 564 615 705 820 940 1230 1410 1927 2460 2820 3854 5437 5781 7708 9635 10874 11562 16311 19270 21748 23124 27185 28905 32622 38540 54370 57810 65244 81555 108740 115620 163110 222917 255539 326220 445834 511078 668751 766617 891668 1022156 1114585 1277695 1337502 1533234 2229170 2555390 2675004 3066468 3343755 3833085 4458340 5110780 6687510 7666170 10477099 13375020 15332340 20954198 31431297 41908396 52385495 62862594 104770990 125725188 157156485 209541980 314312970 628625940