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42525432 = 23331737313
BaseRepresentation
bin1010001000111…
…0001011111000
32222000111221000
42202032023320
541341303212
64115245000
71024313565
oct242161370
988014830
1042525432
1122005a94
12122a9760
138a6c1a1
14590d86c
153b001dc
hex288e2f8

42525432 has 128 divisors (see below), whose sum is σ = 128865600. Its totient is φ = 12939264.

The previous prime is 42525419. The next prime is 42525433. The reversal of 42525432 is 23452524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42525396 and 42525405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42525433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135708 + ... + 136020.

Almost surely, 242525432 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 42525432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64432800).

42525432 is an abundant number, since it is smaller than the sum of its proper divisors (86340168).

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

42525432 is a wasteful number, since it uses less digits than its factorization.

42525432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 42525432 is about 6521.1526588480. The cubic root of 42525432 is about 349.0461976650.

Adding to 42525432 its reverse (23452524), we get a palindrome (65977956).

The spelling of 42525432 in words is "forty-two million, five hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 37 51 54 68 72 74 102 108 111 136 148 153 204 216 222 296 306 313 333 408 444 459 612 626 629 666 888 918 939 999 1224 1252 1258 1332 1836 1878 1887 1998 2504 2516 2664 2817 3672 3756 3774 3996 5032 5321 5634 5661 7512 7548 7992 8451 10642 11268 11322 11581 15096 15963 16902 16983 21284 22536 22644 23162 31926 33804 33966 34743 42568 45288 46324 47889 63852 67608 67932 69486 92648 95778 104229 127704 135864 138972 143667 191556 196877 208458 277944 287334 312687 383112 393754 416916 574668 590631 625374 787508 833832 1149336 1181262 1250748 1575016 1771893 2362524 2501496 3543786 4725048 5315679 7087572 10631358 14175144 21262716 42525432