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61480440 = 23325731787
BaseRepresentation
bin1110101010000…
…1110111111000
311021200112022100
43222201313320
5111214333230
610033423400
71344401160
oct352416770
9137615270
1061480440
113178218a
121870ab60
13c977a78
1482455a0
1555e6660
hex3aa1df8

61480440 has 192 divisors, whose sum is σ = 236021760. Its totient is φ = 13582080.

The previous prime is 61480439. The next prime is 61480457. The reversal of 61480440 is 4408416.

61480440 is a `hidden beast` number, since 614 + 8 + 0 + 4 + 40 = 666.

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, 77727 + ... + 78513.

It is an arithmetic number, because the mean of its divisors is an integer number (1229280).

Almost surely, 261480440 is an apocalyptic number.

61480440 is a gapful number since it is divisible by the number (60) 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 61480440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118010880).

61480440 is an abundant number, since it is smaller than the sum of its proper divisors (174541320).

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

61480440 is a wasteful number, since it uses less digits than its factorization.

61480440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 61480440 is about 7840.9463714529. The cubic root of 61480440 is about 394.6804872250.

Adding to 61480440 its reverse (4408416), we get a palindrome (65888856).

The spelling of 61480440 in words is "sixty-one million, four hundred eighty thousand, four hundred forty".