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61494048 = 25327114759
BaseRepresentation
bin1110101010010…
…1001100100000
311021201012222100
43222211030200
5111220302143
610034010400
71344455640
oct352451440
9137635870
1061494048
1131791430
1218716a00
13c981015
14824a520
1555ea6d3
hex3aa5320

61494048 has 288 divisors, whose sum is σ = 226437120. Its totient is φ = 15367680.

The previous prime is 61494047. The next prime is 61494053. The reversal of 61494048 is 84049416.

It is a happy number.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (61494047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042243 + ... + 1042301.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 261494048 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 61494048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

61494048 is an abundant number, since it is smaller than the sum of its proper divisors (164943072).

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

61494048 is a wasteful number, since it uses less digits than its factorization.

61494048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

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

The square root of 61494048 is about 7841.8140758373. The cubic root of 61494048 is about 394.7096044308.

The spelling of 61494048 in words is "sixty-one million, four hundred ninety-four thousand, forty-eight".