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42063552 = 2632103709
BaseRepresentation
bin1010000001110…
…1011011000000
32221011001100100
42200131123000
541232013202
64101322400
71020351156
oct240353300
987131310
1042063552
112181aa73
1212106400
138939b9b
14582d3d6
153a5d41c
hex281d6c0

42063552 has 84 divisors (see below), whose sum is σ = 121909840. Its totient is φ = 13865472.

The previous prime is 42063547. The next prime is 42063557. The reversal of 42063552 is 25536024.

42063552 is a `hidden beast` number, since 4 + 20 + 635 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42063547) and next prime (42063557).

It is not an unprimeable number, because it can be changed into a prime (42063557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58974 + ... + 59682.

Almost surely, 242063552 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 42063552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60954920).

42063552 is an abundant number, since it is smaller than the sum of its proper divisors (79846288).

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

42063552 is a wasteful number, since it uses less digits than its factorization.

42063552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42063552 is about 6485.6419882692. The cubic root of 42063552 is about 347.7779002957. Note that the first 3 decimals are identical.

Adding to 42063552 its reverse (25536024), we get a palindrome (67599576).

The spelling of 42063552 in words is "forty-two million, sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 709 824 927 1236 1418 1648 1854 2127 2472 2836 3296 3708 4254 4944 5672 6381 6592 7416 8508 9888 11344 12762 14832 17016 19776 22688 25524 29664 34032 45376 51048 59328 68064 73027 102096 136128 146054 204192 219081 292108 408384 438162 584216 657243 876324 1168432 1314486 1752648 2336864 2628972 3505296 4673728 5257944 7010592 10515888 14021184 21031776 42063552