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66920448 = 21337389
BaseRepresentation
bin1111111101001…
…0000000000000
311122220220121010
43333102000000
5114112423243
610350200520
71441546230
oct377220000
9148826533
1066920448
1134858361
121a4b3140
1310b30bca
148c5dcc0
155d1d433
hex3fd2000

66920448 has 112 divisors (see below), whose sum is σ = 204459840. Its totient is φ = 19070976.

The previous prime is 66920443. The next prime is 66920461. The reversal of 66920448 is 84402966.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (66920443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171838 + ... + 172226.

Almost surely, 266920448 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 66920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102229920).

66920448 is an abundant number, since it is smaller than the sum of its proper divisors (137539392).

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

66920448 is an equidigital number, since it uses as much as digits as its factorization.

66920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 66920448 is about 8180.4919167493. The cubic root of 66920448 is about 405.9939979861.

The spelling of 66920448 in words is "sixty-six million, nine hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 389 448 512 672 768 778 896 1024 1167 1344 1536 1556 1792 2048 2334 2688 2723 3072 3112 3584 4096 4668 5376 5446 6144 6224 7168 8169 8192 9336 10752 10892 12288 12448 14336 16338 18672 21504 21784 24576 24896 28672 32676 37344 43008 43568 49792 57344 65352 74688 86016 87136 99584 130704 149376 172032 174272 199168 261408 298752 348544 398336 522816 597504 697088 796672 1045632 1195008 1394176 1593344 2091264 2390016 2788352 3186688 4182528 4780032 5576704 8365056 9560064 11153408 16730112 22306816 33460224 66920448