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42445760 = 265722707
BaseRepresentation
bin1010000111101…
…0101111000000
32221212110122012
42201322233000
541331231020
64113432052
71023532400
oct241725700
987773565
1042445760
1121a61145
121226b628
138a41b46
1458cc800
153ad67c5
hex287abc0

42445760 has 84 divisors (see below), whose sum is σ = 117619272. Its totient is φ = 14547456.

The previous prime is 42445759. The next prime is 42445801. The reversal of 42445760 is 6754424.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 14327 + ... + 17033.

Almost surely, 242445760 is an apocalyptic number.

42445760 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 42445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58809636).

42445760 is an abundant number, since it is smaller than the sum of its proper divisors (75173512).

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

42445760 is a wasteful number, since it uses less digits than its factorization.

42445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 42445760 is about 6515.0410589650. The cubic root of 42445760 is about 348.8280803923.

The spelling of 42445760 in words is "forty-two million, four hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 2707 3136 3920 5414 7840 10828 13535 15680 18949 21656 27070 37898 43312 54140 75796 86624 94745 108280 132643 151592 173248 189490 216560 265286 303184 378980 433120 530572 606368 663215 757960 866240 1061144 1212736 1326430 1515920 2122288 2652860 3031840 4244576 5305720 6063680 8489152 10611440 21222880 42445760