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49833252 = 22337292273
BaseRepresentation
bin1011111000011…
…0010100100100
310110202210101000
42332012110210
5100224131002
64540033300
71143401310
oct276062444
9113683330
1049833252
1126147507
1214832830
13a42a541
146892b40
15459561c
hex2f86524

49833252 has 96 divisors (see below), whose sum is σ = 152812800. Its totient is φ = 13741056.

The previous prime is 49833247. The next prime is 49833253. The reversal of 49833252 is 25233894.

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

It is not an unprimeable number, because it can be changed into a prime (49833253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20788 + ... + 23060.

It is an arithmetic number, because the mean of its divisors is an integer number (1591800).

Almost surely, 249833252 is an apocalyptic number.

49833252 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 49833252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76406400).

49833252 is an abundant number, since it is smaller than the sum of its proper divisors (102979548).

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

49833252 is a wasteful number, since it uses less digits than its factorization.

49833252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2314 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 49833252 is about 7059.2671007690. The cubic root of 49833252 is about 367.9931571664.

The spelling of 49833252 in words is "forty-nine million, eight hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2273 2436 3132 3654 4546 5481 6819 7308 9092 10962 13638 15911 20457 21924 27276 31822 40914 47733 61371 63644 65917 81828 95466 122742 131834 143199 190932 197751 245484 263668 286398 395502 429597 461419 572796 593253 791004 859194 922838 1186506 1384257 1718388 1779759 1845676 2373012 2768514 3559518 4152771 5537028 7119036 8305542 12458313 16611084 24916626 49833252