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61532142 = 2373291031
BaseRepresentation
bin1110101010111…
…0011111101110
311021210011020020
43222232133232
5111223012032
610034503010
71345005000
oct352563756
9137704206
1061532142
1131808011
1218734a66
13c995469
14825a370
155606b2c
hex3aae7ee

61532142 has 64 divisors (see below), whose sum is σ = 148608000. Its totient is φ = 16957920.

The previous prime is 61532131. The next prime is 61532143. The reversal of 61532142 is 24123516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61532143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59167 + ... + 60197.

It is an arithmetic number, because the mean of its divisors is an integer number (2322000).

Almost surely, 261532142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61532142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74304000).

61532142 is an abundant number, since it is smaller than the sum of its proper divisors (87075858).

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

61532142 is a wasteful number, since it uses less digits than its factorization.

61532142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1072 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 61532142 is about 7844.2426020617. The cubic root of 61532142 is about 394.7910917964.

Adding to 61532142 its reverse (24123516), we get a palindrome (85655658).

The spelling of 61532142 in words is "sixty-one million, five hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 343 406 609 686 1029 1031 1218 1421 2058 2062 2842 3093 4263 6186 7217 8526 9947 14434 19894 21651 29841 29899 43302 50519 59682 59798 89697 101038 151557 179394 209293 303114 353633 418586 627879 707266 1060899 1255758 1465051 2121798 2930102 4395153 8790306 10255357 20510714 30766071 61532142