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42424452 = 22337173301
BaseRepresentation
bin1010000111010…
…1100010000100
32221211101102000
42201311202010
541330040302
64113145300
71023413310
oct241654204
987741360
1042424452
1121a47134
121225b230
138a35235
1458c4b40
153ad031c
hex2875884

42424452 has 96 divisors (see below), whose sum is σ = 133136640. Its totient is φ = 11404800.

The previous prime is 42424451. The next prime is 42424453. The reversal of 42424452 is 25442424.

It is an interprime number because it is at equal distance from previous prime (42424451) and next prime (42424453).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42424451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11202 + ... + 14502.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 242424452 is an apocalyptic number.

42424452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42424452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

42424452 is an abundant number, since it is smaller than the sum of its proper divisors (90712188).

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

42424452 is a wasteful number, since it uses less digits than its factorization.

42424452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3330 counting only the distinct ones).

The product of its digits is 10240, while the sum is 27.

The square root of 42424452 is about 6513.4055608414. The cubic root of 42424452 is about 348.7696994307.

Adding to 42424452 its reverse (25442424), we get a palindrome (67866876).

The spelling of 42424452 in words is "forty-two million, four hundred twenty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 3301 4284 6426 6602 9903 12852 13204 19806 23107 29709 39612 46214 56117 59418 69321 89127 92428 112234 118836 138642 168351 178254 207963 224468 277284 336702 356508 392819 415926 505053 623889 673404 785638 831852 1010106 1178457 1247778 1515159 1571276 2020212 2356914 2495556 3030318 3535371 4713828 6060636 7070742 10606113 14141484 21212226 42424452