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4158492 = 22313192361
BaseRepresentation
bin1111110111010000011100
321211021101020
433313100130
52031032432
6225044140
750226612
oct17672034
97737336
104158492
112390378
121486650
13b27a60
147a36b2
1557222c
hex3f741c

4158492 has 96 divisors (see below), whose sum is σ = 11665920. Its totient is φ = 1140480.

The previous prime is 4158491. The next prime is 4158499. The reversal of 4158492 is 2948514.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4158491) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 68142 + ... + 68202.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

Almost surely, 24158492 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 4158492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832960).

4158492 is an abundant number, since it is smaller than the sum of its proper divisors (7507428).

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

4158492 is a wasteful number, since it uses less digits than its factorization.

4158492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 4158492 is about 2039.2380930142. The cubic root of 4158492 is about 160.8095944870.

The spelling of 4158492 in words is "four million, one hundred fifty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 19 23 26 38 39 46 52 57 61 69 76 78 92 114 122 138 156 183 228 244 247 276 299 366 437 494 598 732 741 793 874 897 988 1159 1196 1311 1403 1482 1586 1748 1794 2318 2379 2622 2806 2964 3172 3477 3588 4209 4636 4758 5244 5612 5681 6954 8418 9516 11362 13908 15067 16836 17043 18239 22724 26657 30134 34086 36478 45201 53314 54717 60268 68172 72956 79971 90402 106628 109434 159942 180804 218868 319884 346541 693082 1039623 1386164 2079246 4158492