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61044984 = 23327211313
BaseRepresentation
bin1110100011011…
…1100011111000
311020212101222100
43220313203320
5111111414414
610020223400
71340605500
oct350674370
9136771870
1061044984
1131505000
121853ab60
13c8547c0
148170a00
15555c609
hex3a378f8

61044984 has 288 divisors, whose sum is σ = 227813040. Its totient is φ = 14636160.

The previous prime is 61044979. The next prime is 61044989. The reversal of 61044984 is 48944016.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61044979) and next prime (61044989).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61044989) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4695762 + ... + 4695774.

Almost surely, 261044984 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 61044984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113906520).

61044984 is an abundant number, since it is smaller than the sum of its proper divisors (166768056).

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

61044984 is a wasteful number, since it uses less digits than its factorization.

61044984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61044984 is about 7813.1289506829. The cubic root of 61044984 is about 393.7464592274.

The spelling of 61044984 in words is "sixty-one million, forty-four thousand, nine hundred eighty-four".