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47102480 = 2453715913
BaseRepresentation
bin1011001110101…
…1101000010000
310021122001110022
42303223220100
544024234410
64401323012
71111236005
oct263535020
9107561408
1047102480
1124651877
1213936468
1399b25b9
1463818ac
154206455
hex2ceba10

47102480 has 40 divisors (see below), whose sum is σ = 112480152. Its totient is φ = 18330624.

The previous prime is 47102477. The next prime is 47102483. The reversal of 47102480 is 8420174.

It is an interprime number because it is at equal distance from previous prime (47102477) and next prime (47102483).

It can be written as a sum of positive squares in 4 ways, for example, as 20394256 + 26708224 = 4516^2 + 5168^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47102483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4997 + ... + 10916.

Almost surely, 247102480 is an apocalyptic number.

47102480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47102480 is an abundant number, since it is smaller than the sum of its proper divisors (65377672).

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

47102480 is a wasteful number, since it uses less digits than its factorization.

47102480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15963 (or 15957 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 47102480 is about 6863.1246528094. The cubic root of 47102480 is about 361.1447101588.

The spelling of 47102480 in words is "forty-seven million, one hundred two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 15913 31826 63652 79565 127304 159130 254608 318260 588781 636520 1177562 1273040 2355124 2943905 4710248 5887810 9420496 11775620 23551240 47102480