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66898048 = 277197379
BaseRepresentation
bin1111111100110…
…0100010000000
311122212202212111
43333030202000
5114111214143
610345505104
71441424020
oct377144200
9148782774
1066898048
1134842548
121a4a2194
1310b23959
148c55a80
155d1699d
hex3fcc880

66898048 has 64 divisors (see below), whose sum is σ = 153489600. Its totient is φ = 28449792.

The previous prime is 66898001. The next prime is 66898081. The reversal of 66898048 is 84089866.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 66897992 and 66898010.

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, 176323 + ... + 176701.

It is an arithmetic number, because the mean of its divisors is an integer number (2398275).

Almost surely, 266898048 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 66898048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76744800).

66898048 is an abundant number, since it is smaller than the sum of its proper divisors (86591552).

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

66898048 is a wasteful number, since it uses less digits than its factorization.

66898048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 66898048 is about 8179.1226913404. The cubic root of 66898048 is about 405.9486940434.

The spelling of 66898048 in words is "sixty-six million, eight hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 379 394 448 758 788 896 1379 1516 1576 2653 2758 3032 3152 5306 5516 6064 6304 10612 11032 12128 12608 21224 22064 24256 25216 42448 44128 48512 74663 84896 88256 149326 169792 176512 298652 339584 522641 597304 1045282 1194608 2090564 2389216 4181128 4778432 8362256 9556864 16724512 33449024 66898048