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642449220 = 223573973853
BaseRepresentation
bin100110010010101…
…111111101000100
31122202212210122120
4212102233331010
52303431333340
6143425525540
721630504540
oct4622577504
91582783576
10642449220
112aa711676
1215b1a38b0
13a313c18a
1461476a20
153b6054d0
hex264aff44

642449220 has 96 divisors (see below), whose sum is σ = 2061550848. Its totient is φ = 146437632.

The previous prime is 642449219. The next prime is 642449221. The reversal of 642449220 is 22944246.

It is an interprime number because it is at equal distance from previous prime (642449219) and next prime (642449221).

It is not an unprimeable number, because it can be changed into a prime (642449221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164814 + ... + 168666.

It is an arithmetic number, because the mean of its divisors is an integer number (21474488).

Almost surely, 2642449220 is an apocalyptic number.

642449220 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 642449220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030775424).

642449220 is an abundant number, since it is smaller than the sum of its proper divisors (1419101628).

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

642449220 is a wasteful number, since it uses less digits than its factorization.

642449220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 642449220 is about 25346.5820180947. The cubic root of 642449220 is about 862.8717859461.

The spelling of 642449220 in words is "six hundred forty-two million, four hundred forty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 397 420 794 1191 1588 1985 2382 2779 3853 3970 4764 5558 5955 7706 7940 8337 11116 11559 11910 13895 15412 16674 19265 23118 23820 26971 27790 33348 38530 41685 46236 53942 55580 57795 77060 80913 83370 107884 115590 134855 161826 166740 231180 269710 323652 404565 539420 809130 1529641 1618260 3059282 4588923 6118564 7648205 9177846 10707487 15296410 18355692 21414974 22944615 30592820 32122461 42829948 45889230 53537435 64244922 91778460 107074870 128489844 160612305 214149740 321224610 642449220