Search a number
-
+
272485400 = 235211211587
BaseRepresentation
bin10000001111011…
…100110000011000
3200222201200200212
4100033130300120
51024224013100
643012150252
76516042035
oct2017346030
9628650625
10272485400
1112a8a1350
1277308388
13445b6185
142829038c
1518dc6635
hex103dcc18

272485400 has 96 divisors (see below), whose sum is σ = 695580480. Its totient is φ = 98448000.

The previous prime is 272485399. The next prime is 272485429. The reversal of 272485400 is 4584272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463907 + ... + 464493.

It is an arithmetic number, because the mean of its divisors is an integer number (7245630).

Almost surely, 2272485400 is an apocalyptic number.

272485400 is a gapful number since it is divisible by the number (20) 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 272485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347790240).

272485400 is an abundant number, since it is smaller than the sum of its proper divisors (423095080).

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

272485400 is a wasteful number, since it uses less digits than its factorization.

272485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 272485400 is about 16507.1317920467. The cubic root of 272485400 is about 648.3075497368.

The spelling of 272485400 in words is "two hundred seventy-two million, four hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 211 220 275 422 440 550 587 844 1055 1100 1174 1688 2110 2200 2321 2348 2935 4220 4642 4696 5275 5870 6457 8440 9284 10550 11605 11740 12914 14675 18568 21100 23210 23480 25828 29350 32285 42200 46420 51656 58025 58700 64570 92840 116050 117400 123857 129140 161425 232100 247714 258280 322850 464200 495428 619285 645700 990856 1238570 1291400 1362427 2477140 2724854 3096425 4954280 5449708 6192850 6812135 10899416 12385700 13624270 24771400 27248540 34060675 54497080 68121350 136242700 272485400