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427036158 = 233175367131
BaseRepresentation
bin11001011101000…
…000110111111110
31002202112200111000
4121131000313332
51333310124113
6110212511130
713403514243
oct3135006776
91082480430
10427036158
111aa06164a
12bb01b4a6
136a619523
1440a015ca
1527754373
hex19740dfe

427036158 has 128 divisors (see below), whose sum is σ = 1046960640. Its totient is φ = 128494080.

The previous prime is 427036157. The next prime is 427036163. The reversal of 427036158 is 851630724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427036157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259753 + ... + 3259883.

It is an arithmetic number, because the mean of its divisors is an integer number (8179380).

Almost surely, 2427036158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427036158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523480320).

427036158 is an abundant number, since it is smaller than the sum of its proper divisors (619924482).

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

427036158 is a wasteful number, since it uses less digits than its factorization.

427036158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 427036158 is about 20664.8532053823. The cubic root of 427036158 is about 753.0460758143.

The spelling of 427036158 in words is "four hundred twenty-seven million, thirty-six thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 67 102 106 131 134 153 159 201 262 306 318 393 402 459 477 603 786 901 918 954 1139 1179 1206 1431 1802 1809 2227 2278 2358 2703 2862 3417 3537 3551 3618 4454 5406 6681 6834 6943 7074 7102 8109 8777 10251 10653 13362 13886 16218 17554 20043 20502 20829 21306 24327 26331 30753 31959 40086 41658 48654 52662 60129 60367 61506 62487 63918 78993 95877 118031 120258 120734 124974 149209 157986 181101 187461 191754 236062 236979 298418 354093 362202 374922 447627 465181 473958 543303 708186 895254 930362 1062279 1086606 1342881 1395543 1629909 2124558 2685762 2791086 3186837 3259818 4028643 4186629 6373674 7908077 8057286 8373258 12559887 15816154 23724231 25119774 47448462 71172693 142345386 213518079 427036158