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47400390 = 2345139421
BaseRepresentation
bin1011010011010…
…0010111000110
310022012012010000
42310310113012
544113303030
64411542130
71113616362
oct264642706
9108165100
1047400390
1124835684
1213a5a946
139a8808b
14641c2a2
154264860
hex2d345c6

47400390 has 80 divisors (see below), whose sum is σ = 128676240. Its totient is φ = 12519360.

The previous prime is 47400377. The next prime is 47400427. The reversal of 47400390 is 9300474.

47400390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 39 ways as a sum of consecutive naturals, for example, 112380 + ... + 112800.

It is an arithmetic number, because the mean of its divisors is an integer number (1608453).

Almost surely, 247400390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47400390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64338120).

47400390 is an abundant number, since it is smaller than the sum of its proper divisors (81275850).

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

47400390 is a wasteful number, since it uses less digits than its factorization.

47400390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 47400390 is about 6884.7941145687. The cubic root of 47400390 is about 361.9044903347.

The spelling of 47400390 in words is "forty-seven million, four hundred thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 139 162 270 278 405 417 421 695 810 834 842 1251 1263 1390 2085 2105 2502 2526 3753 3789 4170 4210 6255 6315 7506 7578 11259 11367 12510 12630 18765 18945 22518 22734 34101 37530 37890 56295 56835 58519 68202 112590 113670 117038 170505 175557 292595 341010 351114 526671 585190 877785 1053342 1580013 1755570 2633355 3160026 4740039 5266710 7900065 9480078 15800130 23700195 47400390