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78199040 = 285199307
BaseRepresentation
bin1001010100100…
…11100100000000
312110010220220202
410222103210000
5130004332130
611432024332
71636452353
oct452234400
9173126822
1078199040
1140161107
12222320a8
131327c72a
14a55829a
156cea145
hex4a93900

78199040 has 72 divisors (see below), whose sum is σ = 188865600. Its totient is φ = 31021056.

The previous prime is 78199027. The next prime is 78199067. The reversal of 78199040 is 4099187.

It is a super-2 number, since 2×781990402 = 12230179713843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78198985 and 78199003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254567 + ... + 254873.

Almost surely, 278199040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94432800).

78199040 is an abundant number, since it is smaller than the sum of its proper divisors (110666560).

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

78199040 is a wasteful number, since it uses less digits than its factorization.

78199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 78199040 is about 8843.0221078543. The cubic root of 78199040 is about 427.6289910901.

The spelling of 78199040 in words is "seventy-eight million, one hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 256 307 320 398 614 640 796 995 1228 1280 1535 1592 1990 2456 3070 3184 3980 4912 6140 6368 7960 9824 12280 12736 15920 19648 24560 25472 31840 39296 49120 50944 61093 63680 78592 98240 122186 127360 196480 244372 254720 305465 392960 488744 610930 977488 1221860 1954976 2443720 3909952 4887440 7819904 9774880 15639808 19549760 39099520 78199040