Search a number
-
+
293272452 = 2232115711297
BaseRepresentation
bin10001011110101…
…111101110000100
3202102211210011200
4101132233232010
51100034204302
645033502500
710160526504
oct2136575604
9672753150
10293272452
111405a9a30
1282271a30
13489b38c5
142ad41a04
151ab3081c
hex117afb84

293272452 has 72 divisors (see below), whose sum is σ = 810761952. Its totient is φ = 88646400.

The previous prime is 293272439. The next prime is 293272453. The reversal of 293272452 is 254272392.

293272452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2932724522 = 172017462204184608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (293272453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225468 + ... + 226764.

Almost surely, 2293272452 is an apocalyptic number.

293272452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293272452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405380976).

293272452 is an abundant number, since it is smaller than the sum of its proper divisors (517489500).

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

293272452 is a wasteful number, since it uses less digits than its factorization.

293272452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1884 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 293272452 is about 17125.1993273071. The cubic root of 293272452 is about 664.3910244617.

It can be divided in two parts, 29 and 3272452, that added together give a square (3272481 = 18092).

The spelling of 293272452 in words is "two hundred ninety-three million, two hundred seventy-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 571 1142 1297 1713 2284 2594 3426 3891 5139 5188 6281 6852 7782 10278 11673 12562 14267 15564 18843 20556 23346 25124 28534 37686 42801 46692 56529 57068 75372 85602 113058 128403 171204 226116 256806 513612 740587 1481174 2221761 2962348 4443522 6665283 8146457 8887044 13330566 16292914 24439371 26661132 32585828 48878742 73318113 97757484 146636226 293272452