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642912500 = 2255192707
BaseRepresentation
bin100110010100100…
…001000011110100
31122210202100011002
4212110201003310
52304041200000
6143443502432
721634444316
oct4624410364
91583670132
10642912500
112aa9a874a
1215b387a18
13a3271cc9
14615577b6
153b6978d5
hex265210f4

642912500 has 72 divisors (see below), whose sum is σ = 1480842720. Its totient is φ = 243540000.

The previous prime is 642912449. The next prime is 642912547. The reversal of 642912500 is 5219246.

It is a happy number.

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, 236147 + ... + 238853.

It is an arithmetic number, because the mean of its divisors is an integer number (20567260).

Almost surely, 2642912500 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 642912500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740421360).

642912500 is an abundant number, since it is smaller than the sum of its proper divisors (837930220).

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

642912500 is a wasteful number, since it uses less digits than its factorization.

642912500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 642912500 is about 25355.7192759346. The cubic root of 642912500 is about 863.0791461432.

The spelling of 642912500 in words is "six hundred forty-two million, nine hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 625 950 1250 1900 2375 2500 2707 3125 4750 5414 6250 9500 10828 11875 12500 13535 23750 27070 47500 51433 54140 59375 67675 102866 118750 135350 205732 237500 257165 270700 338375 514330 676750 1028660 1285825 1353500 1691875 2571650 3383750 5143300 6429125 6767500 8459375 12858250 16918750 25716500 32145625 33837500 64291250 128582500 160728125 321456250 642912500