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47479920 = 24351811093
BaseRepresentation
bin1011010100011…
…1110001110000
310022100020012120
42311013301300
544123324140
64413354240
71114400265
oct265076160
9108306176
1047479920
112488a404
1213a98980
139ab5337
14643d26c
15427d1d0
hex2d47c70

47479920 has 80 divisors (see below), whose sum is σ = 148136352. Its totient is φ = 12579840.

The previous prime is 47479919. The next prime is 47479921. The reversal of 47479920 is 2997474.

47479920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47479919) and next prime (47479921).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47479921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42894 + ... + 43986.

Almost surely, 247479920 is an apocalyptic number.

47479920 is a gapful number since it is divisible by the number (40) 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 47479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74068176).

47479920 is an abundant number, since it is smaller than the sum of its proper divisors (100656432).

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

47479920 is a wasteful number, since it uses less digits than its factorization.

47479920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 47479920 is about 6890.5674657462. The cubic root of 47479920 is about 362.1067824946.

The spelling of 47479920 in words is "forty-seven million, four hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1093 1448 1810 2172 2186 2715 2896 3279 3620 4344 4372 5430 5465 6558 7240 8688 8744 10860 10930 13116 14480 16395 17488 21720 21860 26232 32790 43440 43720 52464 65580 87440 131160 197833 262320 395666 593499 791332 989165 1186998 1582664 1978330 2373996 2967495 3165328 3956660 4747992 5934990 7913320 9495984 11869980 15826640 23739960 47479920