Search a number
-
+
642426600 = 233521762983
BaseRepresentation
bin100110010010101…
…010011011101000
31122202211122121210
4212102222123220
52303430122400
6143425233120
721630351564
oct4622523350
91582748553
10642426600
112aa6a6682
1215b1927a0
13a3131aaa
146146c6a4
153b5ed950
hex264aa6e8

642426600 has 96 divisors (see below), whose sum is σ = 2108704320. Its totient is φ = 161233920.

The previous prime is 642426599. The next prime is 642426623. The reversal of 642426600 is 6624246.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 21292 + ... + 41691.

It is an arithmetic number, because the mean of its divisors is an integer number (21965670).

Almost surely, 2642426600 is an apocalyptic number.

642426600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642426600 is an abundant number, since it is smaller than the sum of its proper divisors (1466277720).

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

642426600 is a wasteful number, since it uses less digits than its factorization.

642426600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63019 (or 63010 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 642426600 is about 25346.1358001570. The cubic root of 642426600 is about 862.8616588739.

The spelling of 642426600 in words is "six hundred forty-two million, four hundred twenty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 62983 125966 188949 251932 314915 377898 503864 629830 755796 944745 1070711 1259660 1511592 1574575 1889490 2141422 2519320 3149150 3212133 3778980 4282844 4723725 5353555 6298300 6424266 7557960 8565688 9447450 10707110 12596600 12848532 16060665 18894900 21414220 25697064 26767775 32121330 37789800 42828440 53535550 64242660 80303325 107071100 128485320 160606650 214142200 321213300 642426600