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78432438 = 2373231657
BaseRepresentation
bin1001010110011…
…00100010110110
312110120210002010
410223030202312
5130034314223
611441025050
71641444000
oct453144266
9173523063
1078432438
11403004a7
1222325186
1313331a36
14a5b9370
156d44393
hex4acc8b6

78432438 has 64 divisors (see below), whose sum is σ = 191001600. Its totient is φ = 21422016.

The previous prime is 78432433. The next prime is 78432463. The reversal of 78432438 is 83423487.

It is a junction number, because it is equal to n+sod(n) for n = 78432396 and 78432405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78432433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46506 + ... + 48162.

It is an arithmetic number, because the mean of its divisors is an integer number (2984400).

Almost surely, 278432438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78432438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95500800).

78432438 is an abundant number, since it is smaller than the sum of its proper divisors (112569162).

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

78432438 is a wasteful number, since it uses less digits than its factorization.

78432438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1692 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 78432438 is about 8856.2090083737. The cubic root of 78432438 is about 428.0540117297.

The spelling of 78432438 in words is "seventy-eight million, four hundred thirty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 343 483 686 966 1029 1127 1657 2058 2254 3314 3381 4971 6762 7889 9942 11599 15778 23198 23667 34797 38111 47334 69594 76222 81193 114333 162386 228666 243579 266777 487158 533554 568351 800331 1136702 1600662 1705053 1867439 3410106 3734878 5602317 11204634 13072073 26144146 39216219 78432438