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78052288 = 267189193
BaseRepresentation
bin1001010011011…
…11101111000000
312102212110121111
410221233233000
5124440133123
611424533104
71635301456
oct451575700
9172773544
1078052288
1140070926
1222181194
131322a9b2
14a51a9d6
156cbb90d
hex4a6fbc0

78052288 has 56 divisors (see below), whose sum is σ = 159654240. Its totient is φ = 37847040.

The previous prime is 78052283. The next prime is 78052291. The reversal of 78052288 is 88225087.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78052288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78052283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404320 + ... + 404512.

Almost surely, 278052288 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 78052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79827120).

78052288 is an abundant number, since it is smaller than the sum of its proper divisors (81601952).

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

78052288 is a wasteful number, since it uses less digits than its factorization.

78052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 78052288 is about 8834.7205954688. The cubic root of 78052288 is about 427.3613206802.

The spelling of 78052288 in words is "seventy-eight million, fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 71 89 142 178 193 284 356 386 568 712 772 1136 1424 1544 2272 2848 3088 4544 5696 6176 6319 12352 12638 13703 17177 25276 27406 34354 50552 54812 68708 101104 109624 137416 202208 219248 274832 404416 438496 549664 876992 1099328 1219567 2439134 4878268 9756536 19513072 39026144 78052288