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272204496 = 2433641983
BaseRepresentation
bin10000001110011…
…000001011010000
3200222012102101000
4100032120023100
51024141020441
643002142000
76513462054
oct2016301320
9628172330
10272204496
1112a71a2a3
12771b1900
1344518365
1428219c64
1518d6d2b6
hex103982d0

272204496 has 80 divisors (see below), whose sum is σ = 783342720. Its totient is φ = 90501120.

The previous prime is 272204477. The next prime is 272204503. The reversal of 272204496 is 694402272.

It is a super-2 number, since 2×2722044962 = 148190575285228032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272204496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276421 + ... + 277403.

It is an arithmetic number, because the mean of its divisors is an integer number (9791784).

Almost surely, 2272204496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272204496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391671360).

272204496 is an abundant number, since it is smaller than the sum of its proper divisors (511138224).

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

272204496 is a wasteful number, since it uses less digits than its factorization.

272204496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 272204496 is about 16498.6210332864. The cubic root of 272204496 is about 648.0846940054.

The spelling of 272204496 in words is "two hundred seventy-two million, two hundred four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 641 983 1282 1923 1966 2564 2949 3846 3932 5128 5769 5898 7692 7864 8847 10256 11538 11796 15384 15728 17307 17694 23076 23592 26541 30768 34614 35388 46152 47184 53082 69228 70776 92304 106164 138456 141552 212328 276912 424656 630103 1260206 1890309 2520412 3780618 5040824 5670927 7561236 10081648 11341854 15122472 17012781 22683708 30244944 34025562 45367416 68051124 90734832 136102248 272204496