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42142452 = 2231129101109
BaseRepresentation
bin1010000011000…
…0101011110100
32221022001120120
42200300223310
541242024302
64103131540
71021130202
oct240605364
987261516
1042142452
1121874280
1212143bb0
138966a81
145850072
153a769bc
hex2830af4

42142452 has 96 divisors (see below), whose sum is σ = 113097600. Its totient is φ = 12096000.

The previous prime is 42142427. The next prime is 42142453. The reversal of 42142452 is 25424124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142453) 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 31 ways as a sum of consecutive naturals, for example, 386574 + ... + 386682.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 242142452 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 42142452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548800).

42142452 is an abundant number, since it is smaller than the sum of its proper divisors (70955148).

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

42142452 is a wasteful number, since it uses less digits than its factorization.

42142452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 42142452 is about 6491.7218054997. The cubic root of 42142452 is about 347.9952106621.

Adding to 42142452 its reverse (25424124), we get a palindrome (67566576).

It can be divided in two parts, 4214 and 2452, that added together give a palindrome (6666).

The spelling of 42142452 in words is "forty-two million, one hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 101 109 116 132 174 202 218 303 319 327 348 404 436 606 638 654 957 1111 1199 1212 1276 1308 1914 2222 2398 2929 3161 3333 3597 3828 4444 4796 5858 6322 6666 7194 8787 9483 11009 11716 12644 13332 14388 17574 18966 22018 32219 33027 34771 35148 37932 44036 64438 66054 69542 96657 104313 121099 128876 132108 139084 193314 208626 242198 319261 363297 386628 417252 484396 638522 726594 957783 1277044 1453188 1915566 3511871 3831132 7023742 10535613 14047484 21071226 42142452