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742640064 = 26338310099
BaseRepresentation
bin101100010000111…
…100100111000000
31220202102000122120
4230100330213000
53010103440224
6201405204240
724255223245
oct5420744700
91822360576
10742640064
11351223521
12188860680
13bab1b7ba
14708b75cc
15452e6779
hex2c43c9c0

742640064 has 56 divisors (see below), whose sum is σ = 1970227200. Its totient is φ = 246875904.

The previous prime is 742640039. The next prime is 742640069. The reversal of 742640064 is 460046247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742640069) 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, 68487 + ... + 78585.

Almost surely, 2742640064 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 742640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985113600).

742640064 is an abundant number, since it is smaller than the sum of its proper divisors (1227587136).

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

742640064 is a wasteful number, since it uses less digits than its factorization.

742640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 742640064 is about 27251.4231554978. The cubic root of 742640064 is about 905.5785456508.

The spelling of 742640064 in words is "seven hundred forty-two million, six hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 383 766 1149 1532 2298 3064 4596 6128 9192 10099 12256 18384 20198 24512 30297 36768 40396 60594 73536 80792 121188 161584 242376 323168 484752 646336 969504 1939008 3867917 7735834 11603751 15471668 23207502 30943336 46415004 61886672 92830008 123773344 185660016 247546688 371320032 742640064