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742215936 = 28372112163
BaseRepresentation
bin101100001111010…
…101000100000000
31220201121110212010
4230033111010000
53010001402221
6201352132520
724251505600
oct5417250400
91821543763
10742215936
11350a63900
12188697140
13baa00737
1470806c00
1545260c76
hex2c3d5100

742215936 has 324 divisors, whose sum is σ = 2541272496. Its totient is φ = 191600640.

The previous prime is 742215931. The next prime is 742215949. The reversal of 742215936 is 639512247.

It is a junction number, because it is equal to n+sod(n) for n = 742215894 and 742215903.

It is not an unprimeable number, because it can be changed into a prime (742215931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4553391 + ... + 4553553.

Almost surely, 2742215936 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 742215936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270636248).

742215936 is an abundant number, since it is smaller than the sum of its proper divisors (1799056560).

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

742215936 is a wasteful number, since it uses less digits than its factorization.

742215936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 742215936 is about 27243.6402853950. The cubic root of 742215936 is about 905.4061183083.

The spelling of 742215936 in words is "seven hundred forty-two million, two hundred fifteen thousand, nine hundred thirty-six".