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42826842 = 23217173809
BaseRepresentation
bin1010001101011…
…1110001011010
32222120211101100
42203113301122
541430424332
64125532230
71030010412
oct243276132
988524340
1042826842
11221a1493
1212414076
138b46436
14598b642
153b5e67c
hex28d7c5a

42826842 has 48 divisors (see below), whose sum is σ = 98939880. Its totient is φ = 13341696.

The previous prime is 42826831. The next prime is 42826853. The reversal of 42826842 is 24862824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42826831) and next prime (42826853).

It can be written as a sum of positive squares in 4 ways, for example, as 40947201 + 1879641 = 6399^2 + 1371^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42826797 and 42826806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52534 + ... + 53342.

Almost surely, 242826842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42826842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49469940).

42826842 is an abundant number, since it is smaller than the sum of its proper divisors (56113038).

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

42826842 is a wasteful number, since it uses less digits than its factorization.

42826842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1004 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42826842 is about 6544.2220316857. Note that the first 3 decimals coincide. The cubic root of 42826842 is about 349.8689087295.

The spelling of 42826842 in words is "forty-two million, eight hundred twenty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 173 306 346 519 809 1038 1557 1618 2427 2941 3114 4854 5882 7281 8823 13753 14562 17646 26469 27506 41259 52938 82518 123777 139957 247554 279914 419871 839742 1259613 2379269 2519226 4758538 7137807 14275614 21413421 42826842