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64881920 = 285173293
BaseRepresentation
bin1111011110000…
…0010100000000
311112002100021002
43313200110000
5113102210140
610234351132
71415326055
oct367402400
9145070232
1064881920
1133695824
121988b4a8
131059908c
14888d02c
155a69415
hex3de0500

64881920 has 72 divisors (see below), whose sum is σ = 156844296. Its totient is φ = 25714688.

The previous prime is 64881917. The next prime is 64881931. The reversal of 64881920 is 2918846.

It can be written as a sum of positive squares in 4 ways, for example, as 35808256 + 29073664 = 5984^2 + 5392^2 .

It is a congruent number.

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, 221294 + ... + 221586.

It is an arithmetic number, because the mean of its divisors is an integer number (2178393).

Almost surely, 264881920 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 64881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78422148).

64881920 is an abundant number, since it is smaller than the sum of its proper divisors (91962376).

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

64881920 is a wasteful number, since it uses less digits than its factorization.

64881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 64881920 is about 8054.9314087707. The cubic root of 64881920 is about 401.8289578702.

The spelling of 64881920 in words is "sixty-four million, eight hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 256 293 320 346 586 640 692 865 1172 1280 1384 1465 1730 2344 2768 2930 3460 4688 5536 5860 6920 9376 11072 11720 13840 18752 22144 23440 27680 37504 44288 46880 50689 55360 75008 93760 101378 110720 187520 202756 221440 253445 375040 405512 506890 811024 1013780 1622048 2027560 3244096 4055120 6488192 8110240 12976384 16220480 32440960 64881920