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42572754 = 23272961191
BaseRepresentation
bin1010001001100…
…1101111010010
32222002220211200
42202121233102
541344312004
64120252030
71024601550
oct242315722
988086750
1042572754
11220385a4
1212311016
138a878a3
145922bd0
153b0e239
hex2899bd2

42572754 has 96 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 11491200.

The previous prime is 42572753. The next prime is 42572767. The reversal of 42572754 is 45727524.

It is a happy number.

42572754 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42572753) 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 47 ways as a sum of consecutive naturals, for example, 222799 + ... + 222989.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 242572754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42572754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

42572754 is an abundant number, since it is smaller than the sum of its proper divisors (68848686).

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

42572754 is a wasteful number, since it uses less digits than its factorization.

42572754 is an odious number, because the sum of its binary digits is odd.

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

The product of its digits is 78400, while the sum is 36.

The square root of 42572754 is about 6524.7799962911. The cubic root of 42572754 is about 349.1756217162.

The spelling of 42572754 in words is "forty-two million, five hundred seventy-two thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 61 63 87 122 126 174 183 191 203 261 366 382 406 427 522 549 573 609 854 1098 1146 1218 1281 1337 1719 1769 1827 2562 2674 3438 3538 3654 3843 4011 5307 5539 7686 8022 10614 11078 11651 12033 12383 15921 16617 23302 24066 24766 31842 33234 34953 37149 38773 49851 69906 74298 77546 81557 99702 104859 111447 116319 163114 209718 222894 232638 244671 337879 348957 489342 675758 697914 734013 1013637 1468026 2027274 2365153 3040911 4730306 6081822 7095459 14190918 21286377 42572754