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42363540 = 22335194129
BaseRepresentation
bin1010000110011…
…0101010010100
32221201021212000
42201212222110
541321113130
64111555300
71023040602
oct241465224
987637760
1042363540
1121a0539a
121222bb30
138a135ab
1458aa872
153abc260
hex2866a94

42363540 has 96 divisors (see below), whose sum is σ = 138768000. Its totient is φ = 10699776.

The previous prime is 42363511. The next prime is 42363553. The reversal of 42363540 is 4536324.

42363540 is a `hidden beast` number, since 4 + 23 + 635 + 4 + 0 = 666.

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

It is a congruent number.

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, 8196 + ... + 12324.

It is an arithmetic number, because the mean of its divisors is an integer number (1445500).

Almost surely, 242363540 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 42363540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69384000).

42363540 is an abundant number, since it is smaller than the sum of its proper divisors (96404460).

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

42363540 is a wasteful number, since it uses less digits than its factorization.

42363540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42363540 is about 6508.7279863273. The cubic root of 42363540 is about 348.6027011205.

Adding to 42363540 its reverse (4536324), we get a palindrome (46899864).

It can be divided in two parts, 4236 and 3540, that added together give a 5-th power (7776 = 65).

The spelling of 42363540 in words is "forty-two million, three hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 4129 5130 8258 10260 12387 16516 20645 24774 37161 41290 49548 61935 74322 78451 82580 111483 123870 148644 156902 185805 222966 235353 247740 313804 371610 392255 445932 470706 557415 706059 743220 784510 941412 1114830 1176765 1412118 1569020 2118177 2229660 2353530 2824236 3530295 4236354 4707060 7060590 8472708 10590885 14121180 21181770 42363540