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42280788 = 22311237787
BaseRepresentation
bin1010000101001…
…0011101010100
32221120002100010
42201102131110
541310441123
64110120220
71022244414
oct241223524
987502303
1042280788
1121959200
12121b0070
1389b4a24
145888644
153aa2993
hex2852754

42280788 has 72 divisors (see below), whose sum is σ = 111511456. Its totient is φ = 12450240.

The previous prime is 42280787. The next prime is 42280817. The reversal of 42280788 is 88708224.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42280783) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53331 + ... + 54117.

Almost surely, 242280788 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 42280788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55755728).

42280788 is an abundant number, since it is smaller than the sum of its proper divisors (69230668).

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

42280788 is a wasteful number, since it uses less digits than its factorization.

42280788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 42280788 is about 6502.3678763970. The cubic root of 42280788 is about 348.3755689015.

The spelling of 42280788 in words is "forty-two million, two hundred eighty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 787 814 1221 1452 1574 1628 2361 2442 3148 4477 4722 4884 8657 8954 9444 13431 17314 17908 25971 26862 29119 34628 51942 53724 58238 87357 95227 103884 116476 174714 190454 285681 320309 349428 380908 571362 640618 960927 1142724 1281236 1921854 3523399 3843708 7046798 10570197 14093596 21140394 42280788