Search a number
-
+
46118268 = 22337531151
BaseRepresentation
bin1010111111101…
…1010101111100
310012210001101000
42233323111330
543301241033
64324250300
71066666410
oct257732574
9105701330
1046118268
112403a379
1213540990
139729621
1461a6d40
1540aea13
hex2bfb57c

46118268 has 96 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 12916800.

The previous prime is 46118251. The next prime is 46118273. The reversal of 46118268 is 86281164.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39493 + ... + 40643.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 246118268 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 46118268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

46118268 is an abundant number, since it is smaller than the sum of its proper divisors (93227652).

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

46118268 is a wasteful number, since it uses less digits than its factorization.

46118268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1216 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 46118268 is about 6791.0432188288. The cubic root of 46118268 is about 358.6115967067.

The spelling of 46118268 in words is "forty-six million, one hundred eighteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1151 1431 1484 1908 2226 2302 2862 3339 3453 4452 4604 5724 6678 6906 8057 10017 10359 13356 13812 16114 20034 20718 24171 31077 32228 40068 41436 48342 61003 62154 72513 96684 122006 124308 145026 183009 217539 244012 290052 366018 427021 435078 549027 732036 854042 870156 1098054 1281063 1647081 1708084 2196108 2562126 3294162 3843189 5124252 6588324 7686378 11529567 15372756 23059134 46118268