Search a number
-
+
628132640 = 2553925829
BaseRepresentation
bin100101011100001…
…000101100100000
31121202221102222212
4211130020230200
52241300221030
6142155021252
721365016332
oct4534105440
91552842885
10628132640
112a2623393
1215643a828
13a0198925
145d5cb452
153a228595
hex25708b20

628132640 has 24 divisors (see below), whose sum is σ = 1483963740. Its totient is φ = 251252992.

The previous prime is 628132619. The next prime is 628132667. The reversal of 628132640 is 46231826.

It can be written as a sum of positive squares in 2 ways, for example, as 626400784 + 1731856 = 25028^2 + 1316^2 .

It is a super-2 number, since 2×6281326402 = 789101226866739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 628132597 and 628132606.

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 3 ways as a sum of consecutive naturals, for example, 1962755 + ... + 1963074.

Almost surely, 2628132640 is an apocalyptic number.

It is an amenable number.

628132640 is an abundant number, since it is smaller than the sum of its proper divisors (855831100).

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

628132640 is a wasteful number, since it uses less digits than its factorization.

628132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925844 (or 3925836 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 628132640 is about 25062.5744886674. The cubic root of 628132640 is about 856.4140571150.

The spelling of 628132640 in words is "six hundred twenty-eight million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3925829 7851658 15703316 19629145 31406632 39258290 62813264 78516580 125626528 157033160 314066320 628132640