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42364992 = 263233947
BaseRepresentation
bin1010000110011…
…1000001000000
32221201100211210
42201213001000
541321134432
64112010120
71023045045
oct241470100
987640753
1042364992
1121a0649a
1212230940
138a14157
1458ab1cc
153abc8cc
hex2867040

42364992 has 56 divisors (see below), whose sum is σ = 112690656. Its totient is φ = 14046208.

The previous prime is 42364991. The next prime is 42365017. The reversal of 42364992 is 29946324.

It is a self number, because there is not a number n which added to its sum of digits gives 42364992.

It is not an unprimeable number, because it can be changed into a prime (42364991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44263 + ... + 45209.

Almost surely, 242364992 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 42364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56345328).

42364992 is an abundant number, since it is smaller than the sum of its proper divisors (70325664).

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

42364992 is a wasteful number, since it uses less digits than its factorization.

42364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1185 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 42364992 is about 6508.8395279036. The cubic root of 42364992 is about 348.6066838325.

The spelling of 42364992 in words is "forty-two million, three hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 466 699 932 947 1398 1864 1894 2796 2841 3728 3788 5592 5682 7456 7576 11184 11364 14912 15152 22368 22728 30304 44736 45456 60608 90912 181824 220651 441302 661953 882604 1323906 1765208 2647812 3530416 5295624 7060832 10591248 14121664 21182496 42364992