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42366276 = 223219232693
BaseRepresentation
bin1010000110011…
…1010101000100
32221201102121100
42201213111010
541321210101
64112020100
71023051561
oct241472504
987642540
1042366276
1121a07457
1212231630
138a14904
1458ab868
153abce86
hex2867544

42366276 has 72 divisors (see below), whose sum is σ = 117673920. Its totient is φ = 12792384.

The previous prime is 42366263. The next prime is 42366277. The reversal of 42366276 is 67266324.

It is a happy number.

42366276 is a `hidden beast` number, since 4 + 23 + 6 + 627 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42366276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42366277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14386 + ... + 17078.

It is an arithmetic number, because the mean of its divisors is an integer number (1634360).

Almost surely, 242366276 is an apocalyptic number.

42366276 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42366276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58836960).

42366276 is an abundant number, since it is smaller than the sum of its proper divisors (75307644).

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

42366276 is a wasteful number, since it uses less digits than its factorization.

42366276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2740 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 42366276 is about 6508.9381622504. The cubic root of 42366276 is about 348.6102056591.

The spelling of 42366276 in words is "forty-two million, three hundred sixty-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 2693 3933 5244 5386 7866 8079 10772 15732 16158 24237 32316 48474 51167 61939 96948 102334 123878 153501 185817 204668 247756 307002 371634 460503 557451 614004 743268 921006 1114902 1176841 1842012 2229804 2353682 3530523 4707364 7061046 10591569 14122092 21183138 42366276