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42453632 = 271331823
BaseRepresentation
bin1010000111110…
…0101010000000
32221212212102202
42201330222000
541332004012
64113532332
71023564344
oct241745200
987785382
1042453632
1121a67051
12122740a8
138a455c0
1458d1624
153ad8cc2
hex287ca80

42453632 has 64 divisors (see below), whose sum is σ = 94133760. Its totient is φ = 18938880.

The previous prime is 42453617. The next prime is 42453637. The reversal of 42453632 is 23635424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 42453595 and 42453604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42453637) 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, 51173 + ... + 51995.

It is an arithmetic number, because the mean of its divisors is an integer number (1470840).

Almost surely, 242453632 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 42453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47066880).

42453632 is an abundant number, since it is smaller than the sum of its proper divisors (51680128).

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

42453632 is a wasteful number, since it uses less digits than its factorization.

42453632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 869 counting only the distinct ones).

The product of its digits is 17280, while the sum is 29.

The square root of 42453632 is about 6515.6451714316. The cubic root of 42453632 is about 348.8496436368.

The spelling of 42453632 in words is "forty-two million, four hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 823 832 992 1612 1646 1664 1984 3224 3292 3968 6448 6584 10699 12896 13168 21398 25513 25792 26336 42796 51026 51584 52672 85592 102052 105344 171184 204104 331669 342368 408208 663338 684736 816416 1326676 1369472 1632832 2653352 3265664 5306704 10613408 21226816 42453632