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61648896 = 212329173
BaseRepresentation
bin1110101100101…
…1000000000000
311022000002101110
43223023000000
5111240231041
610041203320
71346002251
oct353130000
9138002343
1061648896
1131887801
1218790540
13ca0664a
14828ab28
15562b516
hex3acb000

61648896 has 104 divisors (see below), whose sum is σ = 171028080. Its totient is φ = 19726336.

The previous prime is 61648889. The next prime is 61648907. The reversal of 61648896 is 69884616.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356266 + ... + 356438.

Almost surely, 261648896 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 61648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85514040).

61648896 is an abundant number, since it is smaller than the sum of its proper divisors (109379184).

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

61648896 is a wasteful number, since it uses less digits than its factorization.

61648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 61648896 is about 7851.6810938805. The cubic root of 61648896 is about 395.0406324702.

The spelling of 61648896 in words is "sixty-one million, six hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 173 174 192 232 256 346 348 384 464 512 519 692 696 768 928 1024 1038 1384 1392 1536 1856 2048 2076 2768 2784 3072 3712 4096 4152 5017 5536 5568 6144 7424 8304 10034 11072 11136 12288 14848 15051 16608 20068 22144 22272 29696 30102 33216 40136 44288 44544 59392 60204 66432 80272 88576 89088 118784 120408 132864 160544 177152 178176 240816 265728 321088 354304 356352 481632 531456 642176 708608 963264 1062912 1284352 1926528 2125824 2568704 3853056 5137408 7706112 10274816 15412224 20549632 30824448 61648896