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47382420 = 22356071301
BaseRepresentation
bin1011010010111…
…1111110010100
310022011021110110
42310233332110
544112214140
64411323020
71113513111
oct264577624
9108137413
1047382420
1124823128
1213a50470
139a7cb47
146415908
15425e380
hex2d2ff94

47382420 has 48 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 12604800.

The previous prime is 47382397. The next prime is 47382427. The reversal of 47382420 is 2428374.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47382427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35770 + ... + 37070.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 247382420 is an apocalyptic number.

It is an amenable number.

47382420 is an abundant number, since it is smaller than the sum of its proper divisors (85609068).

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

47382420 is a wasteful number, since it uses less digits than its factorization.

47382420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 47382420 is about 6883.4889409369. The cubic root of 47382420 is about 361.8587505866.

The spelling of 47382420 in words is "forty-seven million, three hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 607 1214 1301 1821 2428 2602 3035 3642 3903 5204 6070 6505 7284 7806 9105 12140 13010 15612 18210 19515 26020 36420 39030 78060 789707 1579414 2369121 3158828 3948535 4738242 7897070 9476484 11845605 15794140 23691210 47382420