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61987424 = 2519432371
BaseRepresentation
bin1110110001110…
…1101001100000
311022122021202112
43230131221200
5111332044144
610052334452
71351612232
oct354355140
9138567675
1061987424
1131a99084
1218914428
13cac4765
148338252
15569699e
hex3b1da60

61987424 has 48 divisors (see below), whose sum is σ = 131503680. Its totient is φ = 28667520.

The previous prime is 61987421. The next prime is 61987441. The reversal of 61987424 is 42478916.

61987424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61987421) by changing a digit.

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, 24959 + ... + 27329.

It is an arithmetic number, because the mean of its divisors is an integer number (2739660).

Almost surely, 261987424 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 61987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65751840).

61987424 is an abundant number, since it is smaller than the sum of its proper divisors (69516256).

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

61987424 is a wasteful number, since it uses less digits than its factorization.

61987424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2435 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 61987424 is about 7873.2092567136. The cubic root of 61987424 is about 395.7623987042.

The spelling of 61987424 in words is "sixty-one million, nine hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 152 172 304 344 608 688 817 1376 1634 2371 3268 4742 6536 9484 13072 18968 26144 37936 45049 75872 90098 101953 180196 203906 360392 407812 720784 815624 1441568 1631248 1937107 3262496 3874214 7748428 15496856 30993712 61987424