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47142072 = 23323121121
BaseRepresentation
bin1011001111010…
…1010010111000
310021201001202200
42303311102320
544032021242
64402230200
71111462305
oct263652270
9107631680
1047142072
112467959a
1213955360
1399c7623
1463920ac
15421304c
hex2cf54b8

47142072 has 48 divisors (see below), whose sum is σ = 131801280. Its totient is φ = 15206400.

The previous prime is 47142031. The next prime is 47142077. The reversal of 47142072 is 27024174.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47142077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8329 + ... + 12792.

It is an arithmetic number, because the mean of its divisors is an integer number (2745860).

Almost surely, 247142072 is an apocalyptic number.

It is an amenable number.

47142072 is an abundant number, since it is smaller than the sum of its proper divisors (84659208).

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

47142072 is a wasteful number, since it uses less digits than its factorization.

47142072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21164 (or 21157 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 47142072 is about 6866.0084474169. The cubic root of 47142072 is about 361.2458685766.

It can be divided in two parts, 4714 and 2072, that added together give a triangular number (6786 = T116).

The spelling of 47142072 in words is "forty-seven million, one hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 21121 42242 63363 84484 126726 168968 190089 253452 380178 506904 654751 760356 1309502 1520712 1964253 2619004 3928506 5238008 5892759 7857012 11785518 15714024 23571036 47142072