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78494320 = 24519113457
BaseRepresentation
bin1001010110110…
…11101001110000
312110200220222001
410223123221300
5130043304240
611442223344
71642122262
oct453335160
9173626861
1078494320
1140342a43
1222354b54
1313353c58
14a5d3b32
156d5789a
hex4adba70

78494320 has 80 divisors (see below), whose sum is σ = 194228640. Its totient is φ = 29417472.

The previous prime is 78494309. The next prime is 78494341. The reversal of 78494320 is 2349487.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×784943202 = 12322716544524800, which contains 22 as substring.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 78494320.

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, 171532 + ... + 171988.

It is an arithmetic number, because the mean of its divisors is an integer number (2427858).

Almost surely, 278494320 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 78494320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97114320).

78494320 is an abundant number, since it is smaller than the sum of its proper divisors (115734320).

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

78494320 is a wasteful number, since it uses less digits than its factorization.

78494320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 78494320 is about 8859.7020265921. The cubic root of 78494320 is about 428.1665581694.

The spelling of 78494320 in words is "seventy-eight million, four hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 113 152 190 226 304 380 452 457 565 760 904 914 1130 1520 1808 1828 2147 2260 2285 3656 4294 4520 4570 7312 8588 8683 9040 9140 10735 17176 17366 18280 21470 34352 34732 36560 42940 43415 51641 69464 85880 86830 103282 138928 171760 173660 206564 258205 347320 413128 516410 694640 826256 981179 1032820 1962358 2065640 3924716 4131280 4905895 7849432 9811790 15698864 19623580 39247160 78494320