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61887488 = 210134649
BaseRepresentation
bin1110110000010…
…1010000000000
311022110012200012
43230011100000
5111320344423
610050244052
71351014665
oct354052000
9138405605
1061887488
1131a2aa93
1218886628
13ca8b120
14830da6c
155677078
hex3b05400

61887488 has 44 divisors (see below), whose sum is σ = 133259700. Its totient is φ = 28557312.

The previous prime is 61887487. The next prime is 61887493. The reversal of 61887488 is 88478816.

It can be written as a sum of positive squares in 2 ways, for example, as 38539264 + 23348224 = 6208^2 + 4832^2 .

It is a super-2 number, since 2×618874882 = 7660122341900288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61887487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10988 + ... + 15636.

Almost surely, 261887488 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 61887488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66629850).

61887488 is an abundant number, since it is smaller than the sum of its proper divisors (71372212).

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

61887488 is a wasteful number, since it uses less digits than its factorization.

61887488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4664 counting only the distinct ones).

The product of its digits is 688128, while the sum is 50.

The square root of 61887488 is about 7866.8601106159. The cubic root of 61887488 is about 395.5496018593.

The spelling of 61887488 in words is "sixty-one million, eight hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 4649 6656 9298 13312 18596 37192 60437 74384 120874 148768 241748 297536 483496 595072 966992 1190144 1933984 2380288 3867968 4760576 7735936 15471872 30943744 61887488