Search a number
-
+
42253704 = 23331737311
BaseRepresentation
bin1010000100101…
…1110110001000
32221111201012000
42201023312020
541304104304
64105351000
71022102433
oct241136610
987451160
1042253704
112193a919
1212198460
1389a55bc
14587c81a
153a99939
hex284bd88

42253704 has 128 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 12856320.

The previous prime is 42253697. The next prime is 42253711. The reversal of 42253704 is 40735224.

It is an interprime number because it is at equal distance from previous prime (42253697) and next prime (42253711).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135709 + ... + 136019.

It is an arithmetic number, because the mean of its divisors is an integer number (1000350).

Almost surely, 242253704 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 42253704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

42253704 is an abundant number, since it is smaller than the sum of its proper divisors (85791096).

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

42253704 is a wasteful number, since it uses less digits than its factorization.

42253704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42253704 is about 6500.2849168325. The cubic root of 42253704 is about 348.3011661624.

Adding to 42253704 its reverse (40735224), we get a palindrome (82988928).

The spelling of 42253704 in words is "forty-two million, two hundred fifty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 37 51 54 68 72 74 102 108 111 136 148 153 204 216 222 296 306 311 333 408 444 459 612 622 629 666 888 918 933 999 1224 1244 1258 1332 1836 1866 1887 1998 2488 2516 2664 2799 3672 3732 3774 3996 5032 5287 5598 5661 7464 7548 7992 8397 10574 11196 11322 11507 15096 15861 16794 16983 21148 22392 22644 23014 31722 33588 33966 34521 42296 45288 46028 47583 63444 67176 67932 69042 92056 95166 103563 126888 135864 138084 142749 190332 195619 207126 276168 285498 310689 380664 391238 414252 570996 586857 621378 782476 828504 1141992 1173714 1242756 1564952 1760571 2347428 2485512 3521142 4694856 5281713 7042284 10563426 14084568 21126852 42253704