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47428440 = 2335795003
BaseRepresentation
bin1011010011101…
…1001101011000
310022020121120220
42310323031120
544120202230
64412320040
71114064223
oct264731530
9108217526
1047428440
1124854764
1213a73020
139a97a87
1464285ba
15426cd10
hex2d3b358

47428440 has 64 divisors (see below), whose sum is σ = 144115200. Its totient is φ = 12484992.

The previous prime is 47428421. The next prime is 47428457. The reversal of 47428440 is 4482474.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6979 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (2251800).

Almost surely, 247428440 is an apocalyptic number.

47428440 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 47428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72057600).

47428440 is an abundant number, since it is smaller than the sum of its proper divisors (96686760).

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

47428440 is a wasteful number, since it uses less digits than its factorization.

47428440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 47428440 is about 6886.8309112392. The cubic root of 47428440 is about 361.9758640034.

The spelling of 47428440 in words is "forty-seven million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 5003 9480 10006 15009 20012 25015 30018 40024 50030 60036 75045 100060 120072 150090 200120 300180 395237 600360 790474 1185711 1580948 1976185 2371422 3161896 3952370 4742844 5928555 7904740 9485688 11857110 15809480 23714220 47428440