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19204064 = 251189613
BaseRepresentation
bin100100101000…
…0011111100000
31100010200000122
41021100133200
514404012224
61523335412
7322142345
oct111203740
940120018
1019204064
11a927330
126521568
133c95069
14279c7cc
151a4515e
hex12507e0

19204064 has 48 divisors (see below), whose sum is σ = 41776560. Its totient is φ = 8616960.

The previous prime is 19204049. The next prime is 19204069. The reversal of 19204064 is 46040291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19204069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31022 + ... + 31634.

It is an arithmetic number, because the mean of its divisors is an integer number (870345).

Almost surely, 219204064 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 19204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20888280).

19204064 is an abundant number, since it is smaller than the sum of its proper divisors (22572496).

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

19204064 is a wasteful number, since it uses less digits than its factorization.

19204064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 19204064 is about 4382.2441739365. The cubic root of 19204064 is about 267.7920715855.

The spelling of 19204064 in words is "nineteen million, two hundred four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 613 712 979 1226 1424 1958 2452 2848 3916 4904 6743 7832 9808 13486 15664 19616 26972 31328 53944 54557 107888 109114 215776 218228 436456 600127 872912 1200254 1745824 2400508 4801016 9602032 19204064