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42025720 = 23511219457
BaseRepresentation
bin1010000001010…
…0001011111000
32221002010110011
42200110023320
541224310340
64100431304
71020132652
oct240241370
987063404
1042025720
11217a4600
12120a8534
1389258b9
14581d6d2
153a520ea
hex28142f8

42025720 has 96 divisors (see below), whose sum is σ = 109645200. Its totient is φ = 14446080.

The previous prime is 42025703. The next prime is 42025723. The reversal of 42025720 is 2752024.

It is a super-2 number, since 2×420257202 = 3532322283036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42025691 and 42025700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42025723) 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, 91732 + ... + 92188.

Almost surely, 242025720 is an apocalyptic number.

42025720 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 42025720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54822600).

42025720 is an abundant number, since it is smaller than the sum of its proper divisors (67619480).

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

42025720 is a wasteful number, since it uses less digits than its factorization.

42025720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 42025720 is about 6482.7247357882. The cubic root of 42025720 is about 347.6736050933.

Adding to 42025720 its reverse (2752024), we get a palindrome (44777744).

The spelling of 42025720 in words is "forty-two million, twenty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 121 152 190 209 220 242 380 418 440 457 484 605 760 836 914 968 1045 1210 1672 1828 2090 2285 2299 2420 3656 4180 4570 4598 4840 5027 8360 8683 9140 9196 10054 11495 17366 18280 18392 20108 22990 25135 34732 40216 43415 45980 50270 55297 69464 86830 91960 95513 100540 110594 173660 191026 201080 221188 276485 347320 382052 442376 477565 552970 764104 955130 1050643 1105940 1910260 2101286 2211880 3820520 4202572 5253215 8405144 10506430 21012860 42025720