Search a number
-
+
48049400 = 2352724903
BaseRepresentation
bin1011011101001…
…0110011111000
310100102011101102
42313102303320
544300040100
64433510532
71122261500
oct267226370
9110364342
1048049400
1125139253
1214112448
139c545c9
14654aa00
154341cd5
hex2dd2cf8

48049400 has 72 divisors (see below), whose sum is σ = 129980520. Its totient is φ = 16470720.

The previous prime is 48049399. The next prime is 48049439. The reversal of 48049400 is 494084.

It is a happy number.

48049400 is nontrivially palindromic in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7349 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (1805285).

Almost surely, 248049400 is an apocalyptic number.

48049400 is a gapful number since it is divisible by the number (40) 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 48049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64990260).

48049400 is an abundant number, since it is smaller than the sum of its proper divisors (81931120).

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

48049400 is a wasteful number, since it uses less digits than its factorization.

48049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 48049400 is about 6931.7674513792. The cubic root of 48049400 is about 363.5487504834.

The spelling of 48049400 in words is "forty-eight million, forty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 4903 9800 9806 19612 24515 34321 39224 49030 68642 98060 122575 137284 171605 196120 240247 245150 274568 343210 480494 490300 686420 858025 960988 980600 1201235 1372840 1716050 1921976 2402470 3432100 4804940 6006175 6864200 9609880 12012350 24024700 48049400