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46350468 = 2234294933
BaseRepresentation
bin1011000011010…
…0000010000100
310020012211220000
42300310002010
543331203333
64333241300
71101654363
oct260640204
9106184800
1046350468
112418887a
1213633230
1397ab218
1462277da
154108713
hex2c34084

46350468 has 60 divisors (see below), whose sum is σ = 125372940. Its totient is φ = 14914368.

The previous prime is 46350427. The next prime is 46350527. The reversal of 46350468 is 86405364.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 27060804 = 4392^2 + 5202^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6930 + ... + 11862.

It is an arithmetic number, because the mean of its divisors is an integer number (2089549).

Almost surely, 246350468 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 46350468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62686470).

46350468 is an abundant number, since it is smaller than the sum of its proper divisors (79022472).

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

46350468 is a wasteful number, since it uses less digits than its factorization.

46350468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 46350468 is about 6808.1178015660. The cubic root of 46350468 is about 359.2124450263.

The spelling of 46350468 in words is "forty-six million, three hundred fifty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 4933 9396 9866 14799 19732 29598 44397 59196 88794 133191 143057 177588 266382 286114 399573 429171 532764 572228 799146 858342 1287513 1598292 1716684 2575026 3862539 5150052 7725078 11587617 15450156 23175234 46350468