Search a number
-
+
42572088 = 23331315161
BaseRepresentation
bin1010001001100…
…1100100111000
32222002212221000
42202121210320
541344301323
64120245000
71024566606
oct242314470
988085830
1042572088
1122038049
1212310760
138a874b0
145922876
153b0de43
hex2899938

42572088 has 64 divisors (see below), whose sum is σ = 127360800. Its totient is φ = 13098240.

The previous prime is 42572081. The next prime is 42572093. The reversal of 42572088 is 88027524.

It is a happy number.

42572088 is a `hidden beast` number, since 4 + 2 + 572 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42572081) 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 15 ways as a sum of consecutive naturals, for example, 4773 + ... + 10388.

Almost surely, 242572088 is an apocalyptic number.

It is an amenable number.

42572088 is an abundant number, since it is smaller than the sum of its proper divisors (84788712).

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

42572088 is a wasteful number, since it uses less digits than its factorization.

42572088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15189 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42572088 is about 6524.7289598879. The cubic root of 42572088 is about 349.1738008946.

The spelling of 42572088 in words is "forty-two million, five hundred seventy-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 15161 30322 45483 60644 90966 121288 136449 181932 197093 272898 363864 394186 409347 545796 591279 788372 818694 1091592 1182558 1576744 1637388 1773837 2365116 3274776 3547674 4730232 5321511 7095348 10643022 14190696 21286044 42572088