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49946112 = 29333613
BaseRepresentation
bin1011111010000…
…1111000000000
310110222112012000
42332201320000
5100241233422
64542304000
71144351326
oct276417000
9113875160
1049946112
1126214287
1214888000
13a469a18
1468c1d16
1545b8cac
hex2fa1e00

49946112 has 80 divisors (see below), whose sum is σ = 147884880. Its totient is φ = 16644096.

The previous prime is 49946111. The next prime is 49946161. The reversal of 49946112 is 21164994.

It is a happy number.

It is a super-2 number, since 2×499461122 = 4989228207833088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49946111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12018 + ... + 15630.

It is an arithmetic number, because the mean of its divisors is an integer number (1848561).

Almost surely, 249946112 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 49946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73942440).

49946112 is an abundant number, since it is smaller than the sum of its proper divisors (97938768).

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

49946112 is an equidigital number, since it uses as much as digits as its factorization.

49946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3618 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 49946112 is about 7067.2563275998. The cubic root of 49946112 is about 368.2707522287.

The spelling of 49946112 in words is "forty-nine million, nine hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 3613 4608 6912 7226 10839 13824 14452 21678 28904 32517 43356 57808 65034 86712 97551 115616 130068 173424 195102 231232 260136 346848 390204 462464 520272 693696 780408 924928 1040544 1387392 1560816 1849856 2081088 2774784 3121632 4162176 5549568 6243264 8324352 12486528 16648704 24973056 49946112