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742923544 = 231124211823
BaseRepresentation
bin101100010010000…
…001110100011000
31220202221102111211
4230102001310120
53010142023134
6201415232504
724260513566
oct5422016430
91822842454
10742923544
113513a7500
12188978734
13babba83c
147094ca36
1545350764
hex2c481d18

742923544 has 48 divisors (see below), whose sum is σ = 1535607360. Its totient is φ = 336705600.

The previous prime is 742923491. The next prime is 742923547. The reversal of 742923544 is 445329247.

It is a junction number, because it is equal to n+sod(n) for n = 742923497 and 742923506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742923547) 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 11 ways as a sum of consecutive naturals, for example, 406617 + ... + 408439.

It is an arithmetic number, because the mean of its divisors is an integer number (31991820).

Almost surely, 2742923544 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 742923544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767803680).

742923544 is an abundant number, since it is smaller than the sum of its proper divisors (792683816).

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

742923544 is a wasteful number, since it uses less digits than its factorization.

742923544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2257 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 742923544 is about 27256.6238554961. The cubic root of 742923544 is about 905.6937565770.

The spelling of 742923544 in words is "seven hundred forty-two million, nine hundred twenty-three thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 421 484 842 968 1684 1823 3368 3646 4631 7292 9262 14584 18524 20053 37048 40106 50941 80212 101882 160424 203764 220583 407528 441166 767483 882332 1534966 1764664 3069932 6139864 8442313 16884626 33769252 67538504 92865443 185730886 371461772 742923544