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52449120 = 253551971
BaseRepresentation
bin1100100000010…
…0111101100000
310122200200200000
43020010331200
5101411332440
65112100000
71204544613
oct310047540
9118620600
1052449120
1127673889
1215694600
13ab350a9
146d7417a
154910730
hex3204f60

52449120 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 13063680.

The previous prime is 52449079. The next prime is 52449143. The reversal of 52449120 is 2194425.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738685 + ... + 738755.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 252449120 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 52449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

52449120 is an abundant number, since it is smaller than the sum of its proper divisors (145683360).

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

52449120 is a wasteful number, since it uses less digits than its factorization.

52449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52449120 is about 7242.1764684382. The cubic root of 52449120 is about 374.3226171433.

The spelling of 52449120 in words is "fifty-two million, four hundred forty-nine thousand, one hundred twenty".