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642640368 = 243611391579
BaseRepresentation
bin100110010011011…
…110100111110000
31122210020111212010
4212103132213300
52304003442433
6143434002520
721632232036
oct4623364760
91583214763
10642640368
112aa832247
1215b276440
13a31a8196
14614c6556
153b641e63
hex264de9f0

642640368 has 80 divisors (see below), whose sum is σ = 1700585600. Its totient is φ = 209053440.

The previous prime is 642640367. The next prime is 642640391. The reversal of 642640368 is 863046246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642640367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406203 + ... + 407781.

It is an arithmetic number, because the mean of its divisors is an integer number (21257320).

Almost surely, 2642640368 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 642640368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850292800).

642640368 is an abundant number, since it is smaller than the sum of its proper divisors (1057945232).

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

642640368 is a wasteful number, since it uses less digits than its factorization.

642640368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 642640368 is about 25350.3524235858. The cubic root of 642640368 is about 862.9573542452.

The spelling of 642640368 in words is "six hundred forty-two million, six hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 139 183 244 278 366 417 488 556 732 834 976 1112 1464 1579 1668 2224 2928 3158 3336 4737 6316 6672 8479 9474 12632 16958 18948 25264 25437 33916 37896 50874 67832 75792 96319 101748 135664 192638 203496 219481 288957 385276 406992 438962 577914 658443 770552 877924 1155828 1316886 1541104 1755848 2311656 2633772 3511696 4623312 5267544 10535088 13388341 26776682 40165023 53553364 80330046 107106728 160660092 214213456 321320184 642640368