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42452256 = 2537115743
BaseRepresentation
bin1010000111110…
…0010100100000
32221212210112210
42201330110200
541331433011
64113522120
71023560340
oct241742440
987783483
1042452256
1121a66010
1212273340
138a44aa2
1458d0d20
153ad86a6
hex287c520

42452256 has 96 divisors (see below), whose sum is σ = 138958848. Its totient is φ = 11024640.

The previous prime is 42452243. The next prime is 42452257. The reversal of 42452256 is 65225424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42452257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4521 + ... + 10263.

It is an arithmetic number, because the mean of its divisors is an integer number (1447488).

Almost surely, 242452256 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 42452256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69479424).

42452256 is an abundant number, since it is smaller than the sum of its proper divisors (96506592).

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

42452256 is a wasteful number, since it uses less digits than its factorization.

42452256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5766 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 42452256 is about 6515.5395785767. The cubic root of 42452256 is about 348.8458746441.

The spelling of 42452256 in words is "forty-two million, four hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 5743 7392 11486 17229 22972 34458 40201 45944 63173 68916 80402 91888 120603 126346 137832 160804 183776 189519 241206 252692 275664 321608 379038 442211 482412 505384 551328 643216 758076 884422 964824 1010768 1286432 1326633 1516152 1768844 1929648 2021536 2653266 3032304 3537688 3859296 5306532 6064608 7075376 10613064 14150752 21226128 42452256