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454197942 = 234112172947
BaseRepresentation
bin11011000100101…
…000001010110110
31011122122122110000
4123010220022312
51412233313232
6113023012130
714153422152
oct3304501266
91148578400
10454197942
11213423700
1210813a046
13731396a3
1444472062
1529d1c27c
hex1b1282b6

454197942 has 240 divisors, whose sum is σ = 1251391680. Its totient is φ = 122411520.

The previous prime is 454197853. The next prime is 454197943. The reversal of 454197942 is 249791454.

454197942 is a `hidden beast` number, since 454 + 197 + 9 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454197943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9663763 + ... + 9663809.

It is an arithmetic number, because the mean of its divisors is an integer number (5214132).

Almost surely, 2454197942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454197942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625695840).

454197942 is an abundant number, since it is smaller than the sum of its proper divisors (797193738).

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

454197942 is a wasteful number, since it uses less digits than its factorization.

454197942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 454197942 is about 21311.9201856614. The cubic root of 454197942 is about 768.6849663010.

It can be divided in two parts, 45419 and 7942, that added together give a square (53361 = 2312).

The spelling of 454197942 in words is "four hundred fifty-four million, one hundred ninety-seven thousand, nine hundred forty-two".