Search a number
-
+
61487632 = 2431532339
BaseRepresentation
bin1110101010001…
…1101000010000
311021200220011201
43222203220100
5111220101012
610033520544
71344431143
oct352435020
9137626151
1061487632
1131787628
1218713154
13c97b11b
14824805a
1555e8857
hex3aa3a10

61487632 has 40 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 29178240.

The previous prime is 61487611. The next prime is 61487639. The reversal of 61487632 is 23678416.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61487591 and 61487600.

It is not an unprimeable number, because it can be changed into a prime (61487639) 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 7 ways as a sum of consecutive naturals, for example, 25119 + ... + 27457.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 261487632 is an apocalyptic number.

61487632 is a gapful number since it is divisible by the number (62) 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 61487632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

61487632 is an abundant number, since it is smaller than the sum of its proper divisors (63861488).

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

61487632 is a wasteful number, since it uses less digits than its factorization.

61487632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2425 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 61487632 is about 7841.4049761506. The cubic root of 61487632 is about 394.6958765715.

The spelling of 61487632 in words is "sixty-one million, four hundred eighty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 53 62 106 124 212 248 424 496 848 1643 2339 3286 4678 6572 9356 13144 18712 26288 37424 72509 123967 145018 247934 290036 495868 580072 991736 1160144 1983472 3842977 7685954 15371908 30743816 61487632