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42078036 = 2237111331113
BaseRepresentation
bin1010000010000…
…0111101010100
32221011210012210
42200200331110
541232444121
64101513420
71020441330
oct240407524
987153183
1042078036
112182a940
1212112870
138943660
1458347c0
153a62876
hex2820f54

42078036 has 192 divisors, whose sum is σ = 137281536. Its totient is φ = 9676800.

The previous prime is 42077999. The next prime is 42078059. The reversal of 42078036 is 63087024.

It is a super-2 number, since 2×420780362 = 3541122227234592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42077994 and 42078012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372316 + ... + 372428.

It is an arithmetic number, because the mean of its divisors is an integer number (715008).

Almost surely, 242078036 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 42078036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640768).

42078036 is an abundant number, since it is smaller than the sum of its proper divisors (95203500).

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

42078036 is a wasteful number, since it uses less digits than its factorization.

42078036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42078036 is about 6486.7585125392. The cubic root of 42078036 is about 347.8178132117.

The spelling of 42078036 in words is "forty-two million, seventy-eight thousand, thirty-six".