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52723440 = 24335711317
BaseRepresentation
bin1100100100011…
…1111011110000
310200012121222000
43021013323300
5101444122230
65122014000
71210066440
oct311077360
9120177860
1052723440
11278409a0
12157a7300
13abccc03
147006120
154966b60
hex3247ef0

52723440 has 320 divisors, whose sum is σ = 227128320. Its totient is φ = 10920960.

The previous prime is 52723387. The next prime is 52723441. The reversal of 52723440 is 4432725.

It is a super-3 number, since 3×527234403 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52723441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166162 + ... + 166478.

It is an arithmetic number, because the mean of its divisors is an integer number (709776).

Almost surely, 252723440 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 52723440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113564160).

52723440 is an abundant number, since it is smaller than the sum of its proper divisors (174404880).

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

52723440 is a wasteful number, since it uses less digits than its factorization.

52723440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 52723440 is about 7261.0908271416. The cubic root of 52723440 is about 374.9740782082.

The spelling of 52723440 in words is "fifty-two million, seven hundred twenty-three thousand, four hundred forty".