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42152152 = 2372293367
BaseRepresentation
bin1010000011001…
…1000011011000
32221022112212211
42200303003120
541242332102
64103244504
71021200400
oct240630330
987275784
1042152152
1121880599
1212149734
13896b303
145853800
153a797d7
hex28330d8

42152152 has 48 divisors (see below), whose sum is σ = 92504160. Its totient is φ = 17954496.

The previous prime is 42152147. The next prime is 42152161. The reversal of 42152152 is 25125124.

It is a super-2 number, since 2×421521522 = 3553607836462208, which contains 22 as substring.

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, 114673 + ... + 115039.

It is an arithmetic number, because the mean of its divisors is an integer number (1927170).

Almost surely, 242152152 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 42152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46252080).

42152152 is an abundant number, since it is smaller than the sum of its proper divisors (50352008).

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

42152152 is a wasteful number, since it uses less digits than its factorization.

42152152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 669 counting only the distinct ones).

The product of its digits is 800, while the sum is 22.

The square root of 42152152 is about 6492.4688678499. The cubic root of 42152152 is about 348.0219081641.

Adding to 42152152 its reverse (25125124), we get a palindrome (67277276).

The spelling of 42152152 in words is "forty-two million, one hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 293 367 392 586 734 1172 1468 2051 2344 2569 2936 4102 5138 8204 10276 14357 16408 17983 20552 28714 35966 57428 71932 107531 114856 143864 215062 430124 752717 860248 1505434 3010868 5269019 6021736 10538038 21076076 42152152