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628576752 = 243234313241
BaseRepresentation
bin100101011101110…
…101000111110000
31121210210000012110
4211131311013300
52241403424002
6142212325320
721401546166
oct4535650760
91553700173
10628576752
112a28a7021
12156613840
13a02c2b0b
145d6a5236
153a2b4e6c
hex257751f0

628576752 has 80 divisors (see below), whose sum is σ = 1733960448. Its totient is φ = 195740160.

The previous prime is 628576733. The next prime is 628576759. The reversal of 628576752 is 257675826.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628576759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40852 + ... + 54092.

Almost surely, 2628576752 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 628576752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866980224).

628576752 is an abundant number, since it is smaller than the sum of its proper divisors (1105383696).

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

628576752 is a wasteful number, since it uses less digits than its factorization.

628576752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13318 (or 13312 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 628576752 is about 25071.4329865686. The cubic root of 628576752 is about 856.6158479109.

The spelling of 628576752 in words is "six hundred twenty-eight million, five hundred seventy-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 69 86 92 129 138 172 184 258 276 344 368 516 552 688 989 1032 1104 1978 2064 2967 3956 5934 7912 11868 13241 15824 23736 26482 39723 47472 52964 79446 105928 158892 211856 304543 317784 569363 609086 635568 913629 1138726 1218172 1708089 1827258 2277452 2436344 3416178 3654516 4554904 4872688 6832356 7309032 9109808 13095349 13664712 14618064 26190698 27329424 39286047 52381396 78572094 104762792 157144188 209525584 314288376 628576752