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42040152 = 23327117583
BaseRepresentation
bin1010000001011…
…1101101011000
32221002212020200
42200113231120
541230241102
64101022200
71020223020
oct240275530
987085220
1042040152
1121804430
12120b4960
13892c33b
145824a80
153a5651c
hex2817b58

42040152 has 96 divisors (see below), whose sum is σ = 141972480. Its totient is φ = 10918080.

The previous prime is 42040151. The next prime is 42040157. The reversal of 42040152 is 25104024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42040151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1753 + ... + 9335.

It is an arithmetic number, because the mean of its divisors is an integer number (1478880).

Almost surely, 242040152 is an apocalyptic number.

42040152 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 42040152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70986240).

42040152 is an abundant number, since it is smaller than the sum of its proper divisors (99932328).

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

42040152 is a wasteful number, since it uses less digits than its factorization.

42040152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42040152 is about 6483.8377524426. The cubic root of 42040152 is about 347.7133985913.

Adding to 42040152 its reverse (25104024), we get a palindrome (67144176).

The spelling of 42040152 in words is "forty-two million, forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 7583 15166 22749 30332 45498 53081 60664 68247 83413 90996 106162 136494 159243 166826 181992 212324 250239 272988 318486 333652 424648 477729 500478 545976 583891 636972 667304 750717 955458 1000956 1167782 1273944 1501434 1751673 1910916 2001912 2335564 3002868 3503346 3821832 4671128 5255019 6005736 7006692 10510038 14013384 21020076 42040152