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42175296 = 263324407
BaseRepresentation
bin1010000011100…
…0101101000000
32221100201122000
42200320231000
541244102141
64103544000
71021325022
oct240705500
987321560
1042175296
1121896a19
121215b000
1389789c7
14585c012
153a815b6
hex2838b40

42175296 has 56 divisors (see below), whose sum is σ = 123992640. Its totient is φ = 14057856.

The previous prime is 42175271. The next prime is 42175327. The reversal of 42175296 is 69257124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42175296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10476 + ... + 13931.

Almost surely, 242175296 is an apocalyptic number.

It is an amenable number.

42175296 is an abundant number, since it is smaller than the sum of its proper divisors (81817344).

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

42175296 is a wasteful number, since it uses less digits than its factorization.

42175296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24428 (or 24412 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42175296 is about 6494.2509960734. The cubic root of 42175296 is about 348.0855913131.

The spelling of 42175296 in words is "forty-two million, one hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 24407 48814 73221 97628 146442 195256 219663 292884 390512 439326 585768 658989 781024 878652 1171536 1317978 1562048 1757304 2343072 2635956 3514608 4686144 5271912 7029216 10543824 14058432 21087648 42175296