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42432240 = 2435237687
BaseRepresentation
bin1010000111011…
…1011011110000
32221211210002110
42201313123300
541330312430
64113245320
71023445104
oct241673360
987753073
1042432240
1121a51a74
1212263840
138a38946
1458c7904
153ad27b0
hex28776f0

42432240 has 80 divisors (see below), whose sum is σ = 137276928. Its totient is φ = 10821888.

The previous prime is 42432223. The next prime is 42432259. The reversal of 42432240 is 4223424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1677 + ... + 9363.

Almost surely, 242432240 is an apocalyptic number.

42432240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68638464).

42432240 is an abundant number, since it is smaller than the sum of its proper divisors (94844688).

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

42432240 is a wasteful number, since it uses less digits than its factorization.

42432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 42432240 is about 6514.0033773402. The cubic root of 42432240 is about 348.7910397356.

Adding to 42432240 its reverse (4223424), we get a palindrome (46655664).

The spelling of 42432240 in words is "forty-two million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 7687 15374 23061 30748 38435 46122 61496 76870 92244 115305 122992 153740 176801 184488 230610 307480 353602 368976 461220 530403 614960 707204 884005 922440 1060806 1414408 1768010 1844880 2121612 2652015 2828816 3536020 4243224 5304030 7072040 8486448 10608060 14144080 21216120 42432240