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47379000 = 2335317929
BaseRepresentation
bin1011010010111…
…1001000111000
310022011002202210
42310233020320
544112112000
64411255120
71113500124
oct264571070
9108132683
1047379000
11248205a9
1213a4a4a0
139a7b416
146414584
15425d350
hex2d2f238

47379000 has 128 divisors (see below), whose sum is σ = 156686400. Its totient is φ = 11878400.

The previous prime is 47378993. The next prime is 47379019. The reversal of 47379000 is 97374.

47379000 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 (30).

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 31 ways as a sum of consecutive naturals, for example, 50536 + ... + 51464.

Almost surely, 247379000 is an apocalyptic number.

47379000 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 47379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343200).

47379000 is an abundant number, since it is smaller than the sum of its proper divisors (109307400).

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

47379000 is a wasteful number, since it uses less digits than its factorization.

47379000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 47379000 is about 6883.2405159198. The cubic root of 47379000 is about 361.8500442161.

The spelling of 47379000 in words is "forty-seven million, three hundred seventy-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 929 1000 1020 1275 1500 1700 1858 2040 2125 2550 2787 3000 3400 3716 4250 4645 5100 5574 6375 7432 8500 9290 10200 11148 12750 13935 15793 17000 18580 22296 23225 25500 27870 31586 37160 46450 47379 51000 55740 63172 69675 78965 92900 94758 111480 116125 126344 139350 157930 185800 189516 232250 236895 278700 315860 348375 379032 394825 464500 473790 557400 631720 696750 789650 929000 947580 1184475 1393500 1579300 1895160 1974125 2368950 2787000 3158600 3948250 4737900 5922375 7896500 9475800 11844750 15793000 23689500 47379000