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42092352 = 263324359
BaseRepresentation
bin1010000010010…
…0011101000000
32221012111212000
42200210131000
541233423402
64102104000
71020531141
oct240443500
987174760
1042092352
112183a675
121211b000
13894a023
145839ac8
153a66c1c
hex2824740

42092352 has 56 divisors (see below), whose sum is σ = 123748800. Its totient is φ = 14030208.

The previous prime is 42092339. The next prime is 42092359. The reversal of 42092352 is 25329024.

42092352 is a `hidden beast` number, since 420 + 9 + 235 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42092359) 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, 10452 + ... + 13907.

It is an arithmetic number, because the mean of its divisors is an integer number (2209800).

Almost surely, 242092352 is an apocalyptic number.

It is an amenable number.

42092352 is an abundant number, since it is smaller than the sum of its proper divisors (81656448).

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

42092352 is a wasteful number, since it uses less digits than its factorization.

42092352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24380 (or 24364 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42092352 is about 6487.8618974204. The cubic root of 42092352 is about 347.8572541782.

It can be divided in two parts, 4209 and 2352, that added together give a 8-th power (6561 = 38).

The spelling of 42092352 in words is "forty-two million, ninety-two thousand, three hundred fifty-two".

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 24359 48718 73077 97436 146154 194872 219231 292308 389744 438462 584616 657693 779488 876924 1169232 1315386 1558976 1753848 2338464 2630772 3507696 4676928 5261544 7015392 10523088 14030784 21046176 42092352