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61028352 = 2113271143
BaseRepresentation
bin1110100011001…
…1100000000000
311020211120011100
43220303200000
5111110401402
610020014400
71340506140
oct350634000
9136746140
1061028352
11314a3560
1218531400
13c84a068
148168920
15555771c
hex3a33800

61028352 has 288 divisors, whose sum is σ = 224864640. Its totient is φ = 15482880.

The previous prime is 61028339. The next prime is 61028353. The reversal of 61028352 is 25382016.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61028353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419243 + ... + 1419285.

It is an arithmetic number, because the mean of its divisors is an integer number (780780).

Almost surely, 261028352 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 61028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

61028352 is an abundant number, since it is smaller than the sum of its proper divisors (163836288).

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

61028352 is a wasteful number, since it uses less digits than its factorization.

61028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

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

The square root of 61028352 is about 7812.0645158626. The cubic root of 61028352 is about 393.7106966060.

The spelling of 61028352 in words is "sixty-one million, twenty-eight thousand, three hundred fifty-two".