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146055042 = 2337677379
BaseRepresentation
bin10001011010010…
…01111110000010
3101011211100212000
420231021332002
5244342230132
622254244430
73422306310
oct1055117602
9334740760
10146055042
1175498351
1240ab6716
132434a403
141557d0b0
15cc5087c
hex8b49f82

146055042 has 128 divisors (see below), whose sum is σ = 386457600. Its totient is φ = 40030848.

The previous prime is 146055029. The next prime is 146055053. The reversal of 146055042 is 240550641.

146055042 is a `hidden beast` number, since 1 + 4 + 605 + 50 + 4 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 146054997 and 146055015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1848759 + ... + 1848837.

It is an arithmetic number, because the mean of its divisors is an integer number (3019200).

Almost surely, 2146055042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146055042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193228800).

146055042 is an abundant number, since it is smaller than the sum of its proper divisors (240402558).

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

146055042 is a wasteful number, since it uses less digits than its factorization.

146055042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 146055042 is about 12085.3234131321. The cubic root of 146055042 is about 526.6299060137.

The spelling of 146055042 in words is "one hundred forty-six million, fifty-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 73 79 126 134 146 158 189 201 219 237 378 402 438 469 474 511 553 603 657 711 938 1022 1106 1206 1314 1407 1422 1533 1659 1809 1971 2133 2814 3066 3318 3618 3942 4221 4266 4599 4891 4977 5293 5767 8442 9198 9782 9954 10586 11534 12663 13797 14673 14931 15879 17301 25326 27594 29346 29862 31758 34237 34602 37051 40369 44019 47637 51903 68474 74102 80738 88038 95274 102711 103806 111153 121107 132057 142911 155709 205422 222306 242214 264114 285822 308133 311418 333459 363321 386389 616266 666918 726642 772778 924399 1000377 1089963 1159167 1848798 2000754 2179926 2318334 2704723 3477501 5409446 6955002 8114169 10432503 16228338 20865006 24342507 48685014 73027521 146055042