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42468976 = 24112271063
BaseRepresentation
bin1010001000000…
…0011001110000
32221220122111001
42202000121300
541333001401
64114131344
71023660154
oct242003160
987818431
1042468976
1121a77630
1212280b54
138a4c594
1458d7064
153add601
hex2880670

42468976 has 40 divisors (see below), whose sum is σ = 90244224. Its totient is φ = 19200960.

The previous prime is 42468973. The next prime is 42468997. The reversal of 42468976 is 67986424.

It is a happy number.

It is a super-2 number, since 2×424689762 = 3607227844977152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42468973) 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, 39421 + ... + 40483.

Almost surely, 242468976 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 42468976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45122112).

42468976 is an abundant number, since it is smaller than the sum of its proper divisors (47775248).

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

42468976 is a wasteful number, since it uses less digits than its factorization.

42468976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 42468976 is about 6516.8225386303. The cubic root of 42468976 is about 348.8916667723.

The spelling of 42468976 in words is "forty-two million, four hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 227 454 908 1063 1816 2126 2497 3632 4252 4994 8504 9988 11693 17008 19976 23386 39952 46772 93544 187088 241301 482602 965204 1930408 2654311 3860816 5308622 10617244 21234488 42468976