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47420600 = 2352415783
BaseRepresentation
bin1011010011100…
…1010010111000
310022020012211112
42310321102320
544114424400
64412215452
71114032323
oct264712270
9108205745
1047420600
1124849887
1213a6a588
139a94336
1464257ba
15426a835
hex2d394b8

47420600 has 48 divisors (see below), whose sum is σ = 112961520. Its totient is φ = 18502400.

The previous prime is 47420579. The next prime is 47420617. The reversal of 47420600 is 602474.

47420600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5309 + ... + 11091.

It is an arithmetic number, because the mean of its divisors is an integer number (2353365).

Almost surely, 247420600 is an apocalyptic number.

47420600 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 47420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56480760).

47420600 is an abundant number, since it is smaller than the sum of its proper divisors (65540920).

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

47420600 is a wasteful number, since it uses less digits than its factorization.

47420600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 47420600 is about 6886.2616854139. The cubic root of 47420600 is about 361.9559178335.

The spelling of 47420600 in words is "forty-seven million, four hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 5783 8200 11566 23132 28915 46264 57830 115660 144575 231320 237103 289150 474206 578300 948412 1156600 1185515 1896824 2371030 4742060 5927575 9484120 11855150 23710300 47420600