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42184512 = 263273237
BaseRepresentation
bin1010000011101…
…0111101000000
32221101012021100
42200322331000
541244401022
64104054400
71021363626
oct240727500
987335240
1042184512
11218a2937
1212164400
13897cc66
145861516
153a841ac
hex283af40

42184512 has 42 divisors (see below), whose sum is σ = 120915938. Its totient is φ = 14061312.

The previous prime is 42184423. The next prime is 42184517. The reversal of 42184512 is 21548124.

It can be written as a sum of positive squares in only one way, i.e., 35712576 + 6471936 = 5976^2 + 2544^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (42184517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36043 + ... + 37194.

Almost surely, 242184512 is an apocalyptic number.

It is an amenable number.

42184512 is an abundant number, since it is smaller than the sum of its proper divisors (78731426).

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

42184512 is a wasteful number, since it uses less digits than its factorization.

42184512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73255 (or 73242 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42184512 is about 6494.9605079631. The cubic root of 42184512 is about 348.1109436203.

The spelling of 42184512 in words is "forty-two million, one hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 73237 146474 219711 292948 439422 585896 659133 878844 1171792 1318266 1757688 2343584 2636532 3515376 4687168 5273064 7030752 10546128 14061504 21092256 42184512