Search a number
-
+
628664700 = 2235217312113
BaseRepresentation
bin100101011110001…
…010100101111100
31121210221110211210
4211132022211330
52241414232300
6142214244420
721402363456
oct4536124574
91553843753
10628664700
112a2957104
12156656710
13a0323b61
145d6c92d6
153a2d1050
hex2578a97c

628664700 has 72 divisors (see below), whose sum is σ = 1829601648. Its totient is φ = 166661120.

The previous prime is 628664683. The next prime is 628664713. The reversal of 628664700 is 7466826.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45844 + ... + 57956.

It is an arithmetic number, because the mean of its divisors is an integer number (25411134).

Almost surely, 2628664700 is an apocalyptic number.

628664700 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 628664700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914800824).

628664700 is an abundant number, since it is smaller than the sum of its proper divisors (1200936948).

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

628664700 is a wasteful number, since it uses less digits than its factorization.

628664700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 628664700 is about 25073.1868736306. The cubic root of 628664700 is about 856.6557974938.

The spelling of 628664700 in words is "six hundred twenty-eight million, six hundred sixty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12113 12975 17300 24226 25950 36339 48452 51900 60565 72678 121130 145356 181695 242260 302825 363390 605650 726780 908475 1211300 1816950 2095549 3633900 4191098 6286647 8382196 10477745 12573294 20955490 25146588 31433235 41910980 52388725 62866470 104777450 125732940 157166175 209554900 314332350 628664700