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453742938 = 233114611657
BaseRepresentation
bin11011000010111…
…001000101011010
31011121210112022000
4123002321011122
51412124233223
6113005141430
714146515465
oct3302710532
91147715260
10453742938
11213142870
12107b5a876
137300a55c
14443942dc
1529c7c543
hex1b0b915a

453742938 has 64 divisors (see below), whose sum is σ = 1103034240. Its totient is φ = 137116800.

The previous prime is 453742931. The next prime is 453742943. The reversal of 453742938 is 839247354.

It is a junction number, because it is equal to n+sod(n) for n = 453742893 and 453742902.

It is not an unprimeable number, because it can be changed into a prime (453742931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273006 + ... + 274662.

It is an arithmetic number, because the mean of its divisors is an integer number (17234910).

Almost surely, 2453742938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453742938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551517120).

453742938 is an abundant number, since it is smaller than the sum of its proper divisors (649291302).

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

453742938 is a wasteful number, since it uses less digits than its factorization.

453742938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 453742938 is about 21301.2426398086. The cubic root of 453742938 is about 768.4281974939.

The spelling of 453742938 in words is "four hundred fifty-three million, seven hundred forty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 461 594 922 1383 1657 2766 3314 4149 4971 5071 8298 9942 10142 12447 14913 15213 18227 24894 29826 30426 36454 44739 45639 54681 89478 91278 109362 136917 164043 273834 328086 492129 763877 984258 1527754 2291631 4583262 6874893 8402647 13749786 16805294 20624679 25207941 41249358 50415882 75623823 151247646 226871469 453742938