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42502632 = 2332979773
BaseRepresentation
bin1010001000100…
…0100111101000
32221222100122120
42202020213220
541340041012
64114551240
71024160244
oct242104750
987870576
1042502632
1121a9a947
1212298520
138a619b3
145905424
153ae858c
hex28889e8

42502632 has 64 divisors (see below), whose sum is σ = 111456000. Its totient is φ = 13488384.

The previous prime is 42502627. The next prime is 42502667. The reversal of 42502632 is 23620524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54598 + ... + 55370.

It is an arithmetic number, because the mean of its divisors is an integer number (1741500).

Almost surely, 242502632 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 42502632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55728000).

42502632 is an abundant number, since it is smaller than the sum of its proper divisors (68953368).

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

42502632 is a wasteful number, since it uses less digits than its factorization.

42502632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42502632 is about 6519.4042672625. The cubic root of 42502632 is about 348.9838061686.

It can be divided in two parts, 42502 and 632, that added together give a palindrome (43134).

The spelling of 42502632 in words is "forty-two million, five hundred two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 79 87 116 158 174 232 237 316 348 474 632 696 773 948 1546 1896 2291 2319 3092 4582 4638 6184 6873 9164 9276 13746 18328 18552 22417 27492 44834 54984 61067 67251 89668 122134 134502 179336 183201 244268 269004 366402 488536 538008 732804 1465608 1770943 3541886 5312829 7083772 10625658 14167544 21251316 42502632