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78380988 = 22373137139
BaseRepresentation
bin1001010101111…
…11111110111100
312110111011111120
410222333332330
5130031142423
611435550540
71641141000
oct452777674
9173434446
1078380988
1140275884
12222bb450
13133144aa
14a5a4700
156d33ee3
hex4abffbc

78380988 has 96 divisors (see below), whose sum is σ = 216384000. Its totient is φ = 22071168.

The previous prime is 78380977. The next prime is 78381001. The reversal of 78380988 is 88908387.

It is a super-2 number, since 2×783809882 = 12287158559712288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78380988.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563823 + ... + 563961.

It is an arithmetic number, because the mean of its divisors is an integer number (2254000).

Almost surely, 278380988 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 78380988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108192000).

78380988 is an abundant number, since it is smaller than the sum of its proper divisors (138003012).

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

78380988 is a wasteful number, since it uses less digits than its factorization.

78380988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 78380988 is about 8853.3037901114. The cubic root of 78380988 is about 427.9603931673.

The spelling of 78380988 in words is "seventy-eight million, three hundred eighty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 137 139 147 196 274 278 294 343 411 417 548 556 588 686 822 834 959 973 1029 1372 1644 1668 1918 1946 2058 2877 2919 3836 3892 4116 5754 5838 6713 6811 11508 11676 13426 13622 19043 20139 20433 26852 27244 38086 40278 40866 46991 47677 57129 76172 80556 81732 93982 95354 114258 133301 140973 143031 187964 190708 228516 266602 281946 286062 399903 533204 563892 572124 799806 933107 1599612 1866214 2799321 3732428 5598642 6531749 11197284 13063498 19595247 26126996 39190494 78380988