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46100142 = 232112353191
BaseRepresentation
bin1010111111011…
…0111010101110
310012202010111200
42233312322232
543300201032
64324030330
71066562514
oct257667256
9105663450
1046100142
11240277a0
12135323a6
1397212ba
1461a04b4
1540a947c
hex2bf6eae

46100142 has 96 divisors (see below), whose sum is σ = 116453376. Its totient is φ = 13041600.

The previous prime is 46100101. The next prime is 46100147. The reversal of 46100142 is 24100164.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46100147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241267 + ... + 241457.

It is an arithmetic number, because the mean of its divisors is an integer number (1213056).

Almost surely, 246100142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46100142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58226688).

46100142 is an abundant number, since it is smaller than the sum of its proper divisors (70353234).

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

46100142 is a wasteful number, since it uses less digits than its factorization.

46100142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 46100142 is about 6789.7085357179. The cubic root of 46100142 is about 358.5646084895.

The spelling of 46100142 in words is "forty-six million, one hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 53 66 69 99 106 138 159 191 198 207 253 318 382 414 477 506 573 583 759 954 1146 1166 1219 1518 1719 1749 2101 2277 2438 3438 3498 3657 4202 4393 4554 5247 6303 7314 8786 10123 10494 10971 12606 13179 13409 18909 20246 21942 26358 26818 30369 37818 39537 40227 48323 60738 79074 80454 91107 96646 111353 120681 144969 182214 222706 232829 241362 289938 334059 434907 465658 668118 698487 869814 1002177 1396974 2004354 2095461 2561119 4190922 5122238 7683357 15366714 23050071 46100142