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42687576 = 2332678849
BaseRepresentation
bin1010001011010…
…1110001011000
32222022202100100
42202311301120
541412000301
64122535400
71025560401
oct242656130
988282310
1042687576
1122106898
1212367560
138ac7c29
1459529a8
153b33286
hex28b5c58

42687576 has 48 divisors (see below), whose sum is σ = 117351000. Its totient is φ = 14015232.

The previous prime is 42687569. The next prime is 42687587. The reversal of 42687576 is 67578624.

It is a super-3 number, since 3×426875763 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400 + ... + 9248.

Almost surely, 242687576 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 42687576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58675500).

42687576 is an abundant number, since it is smaller than the sum of its proper divisors (74663424).

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

42687576 is a wasteful number, since it uses less digits than its factorization.

42687576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8921 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 42687576 is about 6533.5729888018. The cubic root of 42687576 is about 349.4892577761.

The spelling of 42687576 in words is "forty-two million, six hundred eighty-seven thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 8849 17698 26547 35396 53094 70792 79641 106188 159282 212376 318564 592883 637128 1185766 1778649 2371532 3557298 4743064 5335947 7114596 10671894 14229192 21343788 42687576