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78866240 = 265376661
BaseRepresentation
bin1001011001101…
…10011101000000
312111101211010212
410230312131000
5130142204430
611454213252
71645231505
oct454663500
9174354125
1078866240
1140577412
12224b4228
131345431b
14a68d4ac
156dccb95
hex4b36740

78866240 has 56 divisors (see below), whose sum is σ = 192904872. Its totient is φ = 30689280.

The previous prime is 78866231. The next prime is 78866261. The reversal of 78866240 is 4266887.

It can be written as a sum of positive squares in 4 ways, for example, as 42094144 + 36772096 = 6488^2 + 6064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8510 + ... + 15170.

Almost surely, 278866240 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 78866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96452436).

78866240 is an abundant number, since it is smaller than the sum of its proper divisors (114038632).

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

78866240 is a wasteful number, since it uses less digits than its factorization.

78866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6715 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 78866240 is about 8880.6666416435. Note that the first 4 decimals coincide. The cubic root of 78866240 is about 428.8417359317.

The spelling of 78866240 in words is "seventy-eight million, eight hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 6661 11840 13322 26644 33305 53288 66610 106576 133220 213152 246457 266440 426304 492914 532880 985828 1065760 1232285 1971656 2131520 2464570 3943312 4929140 7886624 9858280 15773248 19716560 39433120 78866240