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42523152 = 2437271467
BaseRepresentation
bin1010001000110…
…1101000010000
32222000101210120
42202031220100
541341220102
64115230240
71024304130
oct242155020
988011716
1042523152
1122004301
12122a8380
138a6b139
14590cac0
153aee6bc
hex288da10

42523152 has 80 divisors (see below), whose sum is σ = 126277632. Its totient is φ = 12078720.

The previous prime is 42523147. The next prime is 42523177. The reversal of 42523152 is 25132524.

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

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, 90823 + ... + 91289.

Almost surely, 242523152 is an apocalyptic number.

42523152 is a gapful number since it is divisible by the number (42) 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 42523152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63138816).

42523152 is an abundant number, since it is smaller than the sum of its proper divisors (83754480).

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

42523152 is a wasteful number, since it uses less digits than its factorization.

42523152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 42523152 is about 6520.9778407843. The cubic root of 42523152 is about 349.0399595190.

Adding to 42523152 its reverse (25132524), we get a palindrome (67655676).

The spelling of 42523152 in words is "forty-two million, five hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 467 542 813 934 1084 1401 1626 1868 1897 2168 2802 3252 3269 3736 3794 4336 5604 5691 6504 6538 7472 7588 9807 11208 11382 13008 13076 15176 19614 22416 22764 26152 30352 39228 45528 52304 78456 91056 126557 156912 253114 379671 506228 759342 885899 1012456 1518684 1771798 2024912 2657697 3037368 3543596 5315394 6074736 7087192 10630788 14174384 21261576 42523152