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742412466 = 23414930757
BaseRepresentation
bin101100010000000…
…101000010110010
31220201222110110000
4230100011002302
53010024144331
6201400250430
724253254555
oct5420050262
91821873400
10742412466
11351088524
12188770a16
13baa6c023
147085869c
154529e0e6
hex2c4050b2

742412466 has 40 divisors (see below), whose sum is σ = 1674773100. Its totient is φ = 245801952.

The previous prime is 742412449. The next prime is 742412497. The reversal of 742412466 is 664214247.

It can be written as a sum of positive squares in 2 ways, for example, as 693005625 + 49406841 = 26325^2 + 7029^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 742412466.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8760 + ... + 39516.

Almost surely, 2742412466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742412466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837386550).

742412466 is an abundant number, since it is smaller than the sum of its proper divisors (932360634).

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

742412466 is a wasteful number, since it uses less digits than its factorization.

742412466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30920 (or 30911 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 742412466 is about 27247.2469434987. The cubic root of 742412466 is about 905.4860248659.

The spelling of 742412466 in words is "seven hundred forty-two million, four hundred twelve thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 2682 4023 8046 12069 24138 30757 61514 92271 184542 276813 553626 830439 1660878 2491317 4582793 4982634 9165586 13748379 27496758 41245137 82490274 123735411 247470822 371206233 742412466