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47248272 = 243436457
BaseRepresentation
bin1011010000111…
…1001110010000
310021220110110000
42310033032100
544043421042
64404410000
71112414031
oct264171620
9107813400
1047248272
1124741365
12139a6900
139a33a76
1463bca88
15423474c
hex2d0f390

47248272 has 50 divisors (see below), whose sum is σ = 136753958. Its totient is φ = 15748992.

The previous prime is 47248259. The next prime is 47248361. The reversal of 47248272 is 27284274.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 3370896 = 6624^2 + 1836^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16933 + ... + 19524.

Almost surely, 247248272 is an apocalyptic number.

It is an amenable number.

47248272 is an abundant number, since it is smaller than the sum of its proper divisors (89505686).

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

47248272 is a wasteful number, since it uses less digits than its factorization.

47248272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36477 (or 36462 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 47248272 is about 6873.7378477798. The cubic root of 47248272 is about 361.5169324553.

It can be divided in two parts, 4724 and 8272, that added together give a square (12996 = 1142).

The spelling of 47248272 in words is "forty-seven million, two hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 36457 72914 109371 145828 218742 291656 328113 437484 583312 656226 874968 984339 1312452 1749936 1968678 2624904 2953017 3937356 5249808 5906034 7874712 11812068 15749424 23624136 47248272