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46116252 = 223272132011
BaseRepresentation
bin1010111111101…
…0110110011100
310012202221121100
42233322312130
543301210002
64324233100
71066660500
oct257726634
9105687540
1046116252
1124038906
121353b790
139728730
1461a6300
1540ae11c
hex2bfad9c

46116252 has 108 divisors (see below), whose sum is σ = 146107416. Its totient is φ = 12156480.

The previous prime is 46116247. The next prime is 46116289. The reversal of 46116252 is 25261164.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 21927 + ... + 23937.

Almost surely, 246116252 is an apocalyptic number.

46116252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46116252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73053708).

46116252 is an abundant number, since it is smaller than the sum of its proper divisors (99991164).

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

46116252 is a wasteful number, since it uses less digits than its factorization.

46116252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2036 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 46116252 is about 6790.8947864033. The cubic root of 46116252 is about 358.6063712177.

The spelling of 46116252 in words is "forty-six million, one hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2011 2548 3276 3822 4022 5733 6033 7644 8044 11466 12066 14077 18099 22932 24132 26143 28154 36198 42231 52286 56308 72396 78429 84462 98539 104572 126693 156858 168924 183001 197078 235287 253386 295617 313716 366002 394156 470574 506772 549003 591234 732004 886851 941148 1098006 1182468 1281007 1647009 1773702 2196012 2562014 3294018 3547404 3843021 5124028 6588036 7686042 11529063 15372084 23058126 46116252