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78215368 = 23721121797
BaseRepresentation
bin1001010100101…
…11100011001000
312110011202022111
410222113203020
5130010342433
611432232104
71636551100
oct452274310
9173152274
1078215368
1140172400
122223b634
1313286caa
14a560200
156ceedcd
hex4a978c8

78215368 has 144 divisors (see below), whose sum is σ = 200593260. Its totient is φ = 28385280.

The previous prime is 78215353. The next prime is 78215369. The reversal of 78215368 is 86351287.

It can be written as a sum of positive squares in 2 ways, for example, as 77053284 + 1162084 = 8778^2 + 1078^2 .

It is a super-2 number, since 2×782153682 = 12235287582750848, 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 78215368.

It is not an unprimeable number, because it can be changed into a prime (78215369) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 806296 + ... + 806392.

Almost surely, 278215368 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 78215368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100296630).

78215368 is an abundant number, since it is smaller than the sum of its proper divisors (122377892).

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

78215368 is a wasteful number, since it uses less digits than its factorization.

78215368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 78215368 is about 8843.9452734625. The cubic root of 78215368 is about 427.6587520703.

The spelling of 78215368 in words is "seventy-eight million, two hundred fifteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 49 56 68 77 88 97 98 119 121 136 154 187 194 196 238 242 308 374 388 392 476 484 539 616 679 748 776 833 847 952 968 1067 1078 1309 1358 1496 1649 1666 1694 2057 2134 2156 2618 2716 3298 3332 3388 4114 4268 4312 4753 5236 5432 5929 6596 6664 6776 7469 8228 8536 9163 9506 10472 11543 11737 11858 13192 14399 14938 16456 18139 18326 19012 23086 23474 23716 28798 29876 36278 36652 38024 46172 46948 47432 52283 57596 59752 72556 73304 80801 82159 92344 93896 100793 104566 115192 126973 145112 161602 164318 199529 201586 209132 253946 323204 328636 399058 403172 418264 507892 575113 646408 657272 798116 806344 888811 1015784 1150226 1396703 1596232 1777622 2300452 2793406 3555244 4600904 5586812 7110488 9776921 11173624 19553842 39107684 78215368