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61240992 = 2532412647
BaseRepresentation
bin1110100110011…
…1011010100000
311021020100211220
43221213122200
5111134202432
610024335040
71342353111
oct351473240
9137210756
1061240992
113162929a
1218614480
13c8c2a97
1481c2208
15559a72c
hex3a676a0

61240992 has 48 divisors (see below), whose sum is σ = 161485632. Its totient is φ = 20321280.

The previous prime is 61240967. The next prime is 61241017. The reversal of 61240992 is 29904216.

61240992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61240967) and next prime (61241017).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×612409922 = 7500918202288128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21813 + ... + 24459.

It is an arithmetic number, because the mean of its divisors is an integer number (3364284).

Almost surely, 261240992 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 61240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80742816).

61240992 is an abundant number, since it is smaller than the sum of its proper divisors (100244640).

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

61240992 is a wasteful number, since it uses less digits than its factorization.

61240992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 61240992 is about 7825.6624000783. The cubic root of 61240992 is about 394.1674329395.

Subtracting from 61240992 its product of nonzero digits (7776), we obtain a palindrome (61233216).

The spelling of 61240992 in words is "sixty-one million, two hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 723 964 1446 1928 2647 2892 3856 5294 5784 7712 7941 10588 11568 15882 21176 23136 31764 42352 63528 84704 127056 254112 637927 1275854 1913781 2551708 3827562 5103416 7655124 10206832 15310248 20413664 30620496 61240992