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742840254 = 2331310110477
BaseRepresentation
bin101100010001101…
…101011110111110
31220202210012021000
4230101231132332
53010131342004
6201413351130
724260016012
oct5421553676
91822705230
10742840254
1135134a972
121889384a6
13bab8b960
147092a542
1545335c39
hex2c46d7be

742840254 has 64 divisors (see below), whose sum is σ = 1795510080. Its totient is φ = 226281600.

The previous prime is 742840243. The next prime is 742840261. The reversal of 742840254 is 452048247.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65664 + ... + 76140.

It is an arithmetic number, because the mean of its divisors is an integer number (28054845).

Almost surely, 2742840254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742840254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897755040).

742840254 is an abundant number, since it is smaller than the sum of its proper divisors (1052669826).

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

742840254 is a wasteful number, since it uses less digits than its factorization.

742840254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10602 (or 10596 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 742840254 is about 27255.0959271840. The cubic root of 742840254 is about 905.6599091945.

The spelling of 742840254 in words is "seven hundred forty-two million, eight hundred forty thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 202 234 303 351 606 702 909 1313 1818 2626 2727 3939 5454 7878 10477 11817 20954 23634 31431 35451 62862 70902 94293 136201 188586 272402 282879 408603 565758 817206 1058177 1225809 2116354 2451618 3174531 3677427 6349062 7354854 9523593 13756301 19047186 27512602 28570779 41268903 57141558 82537806 123806709 247613418 371420127 742840254