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272276032 = 2675910301
BaseRepresentation
bin10000001110101…
…001101001000000
3200222100001111111
4100032221221000
51024200313112
643003453104
76514210450
oct2016515100
9628301444
10272276032
1112a769016
1277227194
1344541aa2
1428237d60
1518d845a7
hex103a9a40

272276032 has 56 divisors (see below), whose sum is σ = 628009920. Its totient is φ = 114700800.

The previous prime is 272276021. The next prime is 272276083. The reversal of 272276032 is 230672272.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 272275985 and 272276003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21282 + ... + 31582.

Almost surely, 2272276032 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 272276032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314004960).

272276032 is an abundant number, since it is smaller than the sum of its proper divisors (355733888).

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

272276032 is a wasteful number, since it uses less digits than its factorization.

272276032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10379 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 272276032 is about 16500.7888296287. The cubic root of 272276032 is about 648.1414617746.

The spelling of 272276032 in words is "two hundred seventy-two million, two hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 1652 1888 3304 3776 6608 10301 13216 20602 26432 41204 72107 82408 144214 164816 288428 329632 576856 607759 659264 1153712 1215518 2307424 2431036 4254313 4614848 4862072 8508626 9724144 17017252 19448288 34034504 38896576 68069008 136138016 272276032