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42364252 = 22723157419
BaseRepresentation
bin1010000110011…
…0110101011100
32221201022211101
42201212311130
541321124002
64112002444
71023042640
oct241466534
987638741
1042364252
1121a05987
1212230424
138a13a08
1458aac20
153abc587
hex2866d5c

42364252 has 48 divisors (see below), whose sum is σ = 89187840. Its totient is φ = 17214912.

The previous prime is 42364247. The next prime is 42364253. The reversal of 42364252 is 25246324.

42364252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 42364252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42364253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100899 + ... + 101317.

It is an arithmetic number, because the mean of its divisors is an integer number (1858080).

Almost surely, 242364252 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 42364252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44593920).

42364252 is an abundant number, since it is smaller than the sum of its proper divisors (46823588).

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

42364252 is a wasteful number, since it uses less digits than its factorization.

42364252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 42364252 is about 6508.7826818845. The cubic root of 42364252 is about 348.6046540871.

The spelling of 42364252 in words is "forty-two million, three hundred sixty-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 23 28 46 92 157 161 314 322 419 628 644 838 1099 1676 2198 2933 3611 4396 5866 7222 9637 11732 14444 19274 25277 38548 50554 65783 67459 101108 131566 134918 263132 269836 460481 920962 1513009 1841924 3026018 6052036 10591063 21182126 42364252