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742387008 = 2631117232931
BaseRepresentation
bin101100001111111…
…110110101000000
31220201221011112010
4230033332311000
53010022341013
6201355532520
724253120416
oct5417766500
91821834463
10742387008
11351070390
1218875a140
13baa6056c
147084d2b6
15452967c3
hex2c3fed40

742387008 has 448 divisors, whose sum is σ = 2528133120. Its totient is φ = 189235200.

The previous prime is 742386961. The next prime is 742387027. The reversal of 742387008 is 800783247.

It is a super-2 number, since 2×7423870082 = 1102276939294384128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23947953 + ... + 23947983.

Almost surely, 2742387008 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 742387008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264066560).

742387008 is an abundant number, since it is smaller than the sum of its proper divisors (1785746112).

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

742387008 is a wasteful number, since it uses less digits than its factorization.

742387008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 742387008 is about 27246.7797730301. The cubic root of 742387008 is about 905.4756747673.

The spelling of 742387008 in words is "seven hundred forty-two million, three hundred eighty-seven thousand, eight".