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78364050 = 23521779389
BaseRepresentation
bin1001010101110…
…11110110010010
312110110022021020
410222323312102
5130030122200
611435340310
71641040422
oct452736622
9173408236
1078364050
1140264086
12222b1696
131330987b
14a59c482
156d2dea0
hex4abbd92

78364050 has 96 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 19368960.

The previous prime is 78364021. The next prime is 78364073. The reversal of 78364050 is 5046387.

It is a super-2 number, since 2×783640502 = 12281848664805000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201256 + ... + 201644.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 278364050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78364050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

78364050 is an abundant number, since it is smaller than the sum of its proper divisors (130551150).

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

78364050 is a wasteful number, since it uses less digits than its factorization.

78364050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 78364050 is about 8852.3471463788. The cubic root of 78364050 is about 427.9295637721.

The spelling of 78364050 in words is "seventy-eight million, three hundred sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 79 85 102 150 158 170 237 255 389 395 425 474 510 778 790 850 1167 1185 1275 1343 1945 1975 2334 2370 2550 2686 3890 3950 4029 5835 5925 6613 6715 8058 9725 11670 11850 13226 13430 19450 19839 20145 29175 30731 33065 33575 39678 40290 58350 61462 66130 67150 92193 99195 100725 153655 165325 184386 198390 201450 307310 330650 460965 495975 522427 768275 921930 991950 1044854 1536550 1567281 2304825 2612135 3134562 4609650 5224270 7836405 13060675 15672810 26121350 39182025 78364050