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42404032 = 2611293167
BaseRepresentation
bin1010000111000…
…0100011000000
32221210100101201
42201300203000
541323412112
64112510544
71023266626
oct241604300
987710351
1042404032
1121a32860
121224b454
138a28b58
1458bb516
153ac9257
hex28708c0

42404032 has 112 divisors (see below), whose sum is σ = 99486720. Its totient is φ = 17740800.

The previous prime is 42404027. The next prime is 42404039. The reversal of 42404032 is 23040424.

It is not an unprimeable number, because it can be changed into a prime (42404039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632863 + ... + 632929.

Almost surely, 242404032 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 42404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743360).

42404032 is an abundant number, since it is smaller than the sum of its proper divisors (57082688).

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

42404032 is a wasteful number, since it uses less digits than its factorization.

42404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 42404032 is about 6511.8378358187. The cubic root of 42404032 is about 348.7137331197.

Adding to 42404032 its reverse (23040424), we get a palindrome (65444456).

The spelling of 42404032 in words is "forty-two million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 29 31 32 44 58 62 64 67 88 116 124 134 176 232 248 268 319 341 352 464 496 536 638 682 704 737 899 928 992 1072 1276 1364 1474 1798 1856 1943 1984 2077 2144 2552 2728 2948 3596 3886 4154 4288 5104 5456 5896 7192 7772 8308 9889 10208 10912 11792 14384 15544 16616 19778 20416 21373 21824 22847 23584 28768 31088 33232 39556 42746 45694 47168 57536 60233 62176 66464 79112 85492 91388 120466 124352 132928 158224 170984 182776 240932 316448 341968 365552 481864 632896 662563 683936 731104 963728 1325126 1367872 1462208 1927456 2650252 3854912 5300504 10601008 21202016 42404032