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42185016 = 2333192541
BaseRepresentation
bin1010000011101…
…1000100111000
32221101012222000
42200323010320
541244410031
64104101000
71021365246
oct240730470
987335860
1042185016
11218a3255
1212164760
138980263
145861796
153a843e6
hex283b138

42185016 has 96 divisors (see below), whose sum is σ = 123901200. Its totient is φ = 13296960.

The previous prime is 42184993. The next prime is 42185063. The reversal of 42185016 is 61058124.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77706 + ... + 78246.

Almost surely, 242185016 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 42185016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61950600).

42185016 is an abundant number, since it is smaller than the sum of its proper divisors (81716184).

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

42185016 is a wasteful number, since it uses less digits than its factorization.

42185016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 42185016 is about 6494.9993071593. Note that the first 3 decimals coincide. The cubic root of 42185016 is about 348.1123299681.

The spelling of 42185016 in words is "forty-two million, one hundred eighty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 541 684 722 1026 1082 1083 1368 1444 1623 2052 2164 2166 2888 3246 3249 4104 4328 4332 4869 6492 6498 8664 9738 9747 10279 12984 12996 14607 19476 19494 20558 25992 29214 30837 38952 38988 41116 58428 61674 77976 82232 92511 116856 123348 185022 195301 246696 277533 370044 390602 555066 585903 740088 781204 1110132 1171806 1562408 1757709 2220264 2343612 3515418 4687224 5273127 7030836 10546254 14061672 21092508 42185016