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272292440 = 2357972473
BaseRepresentation
bin10000001110101…
…101101001011000
3200222100220000012
4100032231221120
51024201324230
643004101052
76514306340
oct2016555130
9628326005
10272292440
1112a77a382
1277234788
13445493b4
142823dd20
1518d89395
hex103ada58

272292440 has 32 divisors (see below), whose sum is σ = 700181280. Its totient is φ = 93357312.

The previous prime is 272292431. The next prime is 272292457. The reversal of 272292440 is 44292272.

It is a junction number, because it is equal to n+sod(n) for n = 272292397 and 272292406.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 485957 + ... + 486516.

It is an arithmetic number, because the mean of its divisors is an integer number (21880665).

Almost surely, 2272292440 is an apocalyptic number.

272292440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272292440 is an abundant number, since it is smaller than the sum of its proper divisors (427888840).

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

272292440 is a wasteful number, since it uses less digits than its factorization.

272292440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972491 (or 972487 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 272292440 is about 16501.2860104902. The cubic root of 272292440 is about 648.1544810274.

The spelling of 272292440 in words is "two hundred seventy-two million, two hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 972473 1944946 3889892 4862365 6807311 7779784 9724730 13614622 19449460 27229244 34036555 38898920 54458488 68073110 136146220 272292440