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61141392 = 24341319191
BaseRepresentation
bin1110100100111…
…1000110010000
311021001022020000
43221033012100
5111123011032
610022250000
71341456534
oct351170620
9137038200
1061141392
1131570484
1218586900
13c889650
148197bc4
15557ae7c
hex3a4f190

61141392 has 200 divisors, whose sum is σ = 201653760. Its totient is φ = 17729280.

The previous prime is 61141391. The next prime is 61141403. The reversal of 61141392 is 29314116.

61141392 is a `hidden beast` number, since 611 + 41 + 3 + 9 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61141391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320017 + ... + 320207.

Almost surely, 261141392 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 61141392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

61141392 is an abundant number, since it is smaller than the sum of its proper divisors (140512368).

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

61141392 is a wasteful number, since it uses less digits than its factorization.

61141392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 61141392 is about 7819.2961320057. The cubic root of 61141392 is about 393.9536307271.

The spelling of 61141392 in words is "sixty-one million, one hundred forty-one thousand, three hundred ninety-two".