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78435042 = 23717372969
BaseRepresentation
bin1001010110011…
…01001011100010
312110120220122120
410223031023202
5130034410132
611441045110
71641454410
oct453151342
9173526576
1078435042
1140302454
1222326796
1313332c8a
14a5ba2b0
156d4502c
hex4acd2e2

78435042 has 64 divisors (see below), whose sum is σ = 195022080. Its totient is φ = 20514816.

The previous prime is 78435031. The next prime is 78435067. The reversal of 78435042 is 24053487.

It is a junction number, because it is equal to n+sod(n) for n = 78434994 and 78435012.

It is an unprimeable number.

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, 24934 + ... + 27902.

It is an arithmetic number, because the mean of its divisors is an integer number (3047220).

Almost surely, 278435042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78435042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97511040).

78435042 is an abundant number, since it is smaller than the sum of its proper divisors (116587038).

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

78435042 is a wasteful number, since it uses less digits than its factorization.

78435042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 78435042 is about 8856.3560226540. The cubic root of 78435042 is about 428.0587488867.

The spelling of 78435042 in words is "seventy-eight million, four hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 222 238 259 357 518 629 714 777 1258 1554 1887 2969 3774 4403 5938 8806 8907 13209 17814 20783 26418 41566 50473 62349 100946 109853 124698 151419 219706 302838 329559 353311 659118 706622 768971 1059933 1537942 1867501 2119866 2306913 3735002 4613826 5602503 11205006 13072507 26145014 39217521 78435042