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42744020 = 22511972003
BaseRepresentation
bin1010001100001…
…1100011010100
32222102121202212
42203003203110
541420302040
64124052552
71026214064
oct243034324
988377685
1042744020
1122145240
1212394158
138b17827
1459693a4
153b44d65
hex28c38d4

42744020 has 48 divisors (see below), whose sum is σ = 98981568. Its totient is φ = 15375360.

The previous prime is 42744019. The next prime is 42744049. The reversal of 42744020 is 2044724.

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 15 ways as a sum of consecutive naturals, for example, 20339 + ... + 22341.

It is an arithmetic number, because the mean of its divisors is an integer number (2062116).

Almost surely, 242744020 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 42744020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49490784).

42744020 is an abundant number, since it is smaller than the sum of its proper divisors (56237548).

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

42744020 is a wasteful number, since it uses less digits than its factorization.

42744020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 42744020 is about 6537.8910972882. The cubic root of 42744020 is about 349.6432282859.

Adding to 42744020 its reverse (2044724), we get a palindrome (44788744).

The spelling of 42744020 in words is "forty-two million, seven hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2003 2134 4006 4268 5335 8012 10015 10670 20030 21340 22033 40060 44066 88132 110165 194291 220330 388582 440660 777164 971455 1942910 2137201 3885820 4274402 8548804 10686005 21372010 42744020