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42054570 = 23253773173
BaseRepresentation
bin1010000001101…
…1001110101010
32221010121000200
42200123032222
541231221240
64101213030
71020313035
oct240331652
987117020
1042054570
1121814248
1212101176
138935a7c
14582a01c
153a5a930
hex281b3aa

42054570 has 96 divisors (see below), whose sum is σ = 114493392. Its totient is φ = 10699776.

The previous prime is 42054541. The next prime is 42054577. The reversal of 42054570 is 7545024.

42054570 is a `hidden beast` number, since 4 + 205 + 457 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36978561 + 5076009 = 6081^2 + 2253^2 .

It is not an unprimeable number, because it can be changed into a prime (42054577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243004 + ... + 243176.

Almost surely, 242054570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42054570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57246696).

42054570 is an abundant number, since it is smaller than the sum of its proper divisors (72438822).

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

42054570 is a wasteful number, since it uses less digits than its factorization.

42054570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 42054570 is about 6484.9494986468. The cubic root of 42054570 is about 347.7531443941.

Adding to 42054570 its reverse (7545024), we get a palindrome (49599594).

It can be divided in two parts, 42054 and 570, that added together give a palindrome (42624).

The spelling of 42054570 in words is "forty-two million, fifty-four thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 73 74 90 111 146 173 185 219 222 333 346 365 370 438 519 555 657 666 730 865 1038 1095 1110 1314 1557 1665 1730 2190 2595 2701 3114 3285 3330 5190 5402 6401 6570 7785 8103 12629 12802 13505 15570 16206 19203 24309 25258 27010 32005 37887 38406 40515 48618 57609 63145 64010 75774 81030 96015 113661 115218 121545 126290 189435 192030 227322 243090 288045 378870 467273 568305 576090 934546 1136610 1401819 2336365 2803638 4205457 4672730 7009095 8410914 14018190 21027285 42054570