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78442812 = 223273747179
BaseRepresentation
bin1001010110011…
…11000100111100
312110121022022100
410223033010330
5130040132222
611441145100
71641516150
oct453170474
9173538270
1078442812
1140308278
122232b190
1313336686
14a5bd060
156d474ac
hex4acf13c

78442812 has 144 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 21223296.

The previous prime is 78442783. The next prime is 78442817. The reversal of 78442812 is 21824487.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78442817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438139 + ... + 438317.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 278442812 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 78442812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

78442812 is an abundant number, since it is smaller than the sum of its proper divisors (160574148).

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

78442812 is a wasteful number, since it uses less digits than its factorization.

78442812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 78442812 is about 8856.7946797925. The cubic root of 78442812 is about 428.0728833287.

The spelling of 78442812 in words is "seventy-eight million, four hundred forty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 47 63 74 84 94 111 126 141 148 179 188 222 252 259 282 329 333 358 423 444 518 537 564 658 666 716 777 846 987 1036 1074 1253 1316 1332 1554 1611 1692 1739 1974 2148 2331 2506 2961 3108 3222 3478 3759 3948 4662 5012 5217 5922 6444 6623 6956 7518 8413 9324 10434 11277 11844 12173 13246 15036 15651 16826 19869 20868 22554 24346 25239 26492 31302 33652 36519 39738 45108 46361 48692 50478 58891 59607 62604 73038 75717 79476 92722 100956 109557 117782 119214 139083 146076 151434 176673 185444 219114 235564 238428 278166 302868 311281 353346 417249 438228 530019 556332 622562 706692 834498 933843 1060038 1245124 1668996 1867686 2120076 2178967 2801529 3735372 4357934 5603058 6536901 8715868 11206116 13073802 19610703 26147604 39221406 78442812