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42285376 = 267372551
BaseRepresentation
bin1010000101001…
…1100101000000
32221120022122001
42201103211000
541311113001
64110153344
71022263660
oct241234500
987508561
1042285376
11219616a1
12121b2854
1389b6b43
14588a1a0
153aa4001
hex2853940

42285376 has 56 divisors (see below), whose sum is σ = 98527616. Its totient is φ = 17625600.

The previous prime is 42285343. The next prime is 42285377. The reversal of 42285376 is 67358224.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×422853762 = 3576106046922752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42285377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15301 + ... + 17851.

Almost surely, 242285376 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 42285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49263808).

42285376 is an abundant number, since it is smaller than the sum of its proper divisors (56242240).

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

42285376 is a wasteful number, since it uses less digits than its factorization.

42285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2597 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 42285376 is about 6502.7206613847. The cubic root of 42285376 is about 348.3881694968.

It can be divided in two parts, 4228 and 5376, that added together give a square (9604 = 982).

The spelling of 42285376 in words is "forty-two million, two hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 2072 2368 2551 4144 5102 8288 10204 16576 17857 20408 35714 40816 71428 81632 94387 142856 163264 188774 285712 377548 571424 660709 755096 1142848 1321418 1510192 2642836 3020384 5285672 6040768 10571344 21142688 42285376