Search a number
-
+
61552016 = 2437173601
BaseRepresentation
bin1110101011001…
…1010110010000
311021211011111022
43222303112100
5111224131031
610035135012
71345116641
oct352632620
9137734438
1061552016
1131820a39
1218744468
13c9a1516
1482636c8
15560c97b
hex3ab3590

61552016 has 40 divisors (see below), whose sum is σ = 123393144. Its totient is φ = 29721600.

The previous prime is 61552013. The next prime is 61552021. The reversal of 61552016 is 61025516.

61552016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46185616 + 15366400 = 6796^2 + 3920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61552013) 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, 102116 + ... + 102716.

Almost surely, 261552016 is an apocalyptic number.

It is an amenable number.

61552016 is an abundant number, since it is smaller than the sum of its proper divisors (61841128).

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

61552016 is a wasteful number, since it uses less digits than its factorization.

61552016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 61552016 is about 7845.5092887588. The cubic root of 61552016 is about 394.8335911760.

The spelling of 61552016 in words is "sixty-one million, five hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 16 37 74 148 173 296 346 592 601 692 1202 1384 2404 2768 4808 6401 9616 12802 22237 25604 44474 51208 88948 102416 103973 177896 207946 355792 415892 831784 1663568 3847001 7694002 15388004 30776008 61552016