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78215840 = 2551792731
BaseRepresentation
bin1001010100101…
…11101010100000
312110011202221222
410222113222200
5130010401330
611432234212
71636552343
oct452275240
9173152858
1078215840
114017279a
122223b968
1313287281
14a56045a
156d000e5
hex4a97aa0

78215840 has 48 divisors (see below), whose sum is σ = 185885280. Its totient is φ = 31100160.

The previous prime is 78215833. The next prime is 78215843. The reversal of 78215840 is 4851287.

It is a super-2 number, since 2×782158402 = 12235435253811200, 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 78215840.

It is not an unprimeable number, because it can be changed into a prime (78215843) 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, 27275 + ... + 30005.

It is an arithmetic number, because the mean of its divisors is an integer number (3872610).

Almost surely, 278215840 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 78215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92942640).

78215840 is an abundant number, since it is smaller than the sum of its proper divisors (107669440).

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

78215840 is a wasteful number, since it uses less digits than its factorization.

78215840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 78215840 is about 8843.9719583454. The cubic root of 78215840 is about 427.6596123212.

The spelling of 78215840 in words is "seventy-eight million, two hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2731 2864 3580 5462 5728 7160 10924 13655 14320 21848 27310 28640 43696 54620 87392 109240 218480 436960 488849 977698 1955396 2444245 3910792 4888490 7821584 9776980 15643168 19553960 39107920 78215840