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66985048 = 23133179263
BaseRepresentation
bin1111111110000…
…1110001011000
311200001012012201
43333201301120
5114122010143
610351415544
71442235454
oct377416130
9150035181
1066985048
11348a1949
121a5245b4
1310b54430
148c79664
155d3264d
hex3fe1c58

66985048 has 64 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 29427840.

The previous prime is 66985043. The next prime is 66985069. The reversal of 66985048 is 84058966.

It is a junction number, because it is equal to n+sod(n) for n = 66984989 and 66985007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66985043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254565 + ... + 254827.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 266985048 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 66985048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70963200).

66985048 is an abundant number, since it is smaller than the sum of its proper divisors (74941352).

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

66985048 is a wasteful number, since it uses less digits than its factorization.

66985048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 66985048 is about 8184.4393821446. The cubic root of 66985048 is about 406.1245947285.

The spelling of 66985048 in words is "sixty-six million, nine hundred eighty-five thousand, forty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 79 104 124 158 248 263 316 403 526 632 806 1027 1052 1612 2054 2104 2449 3224 3419 4108 4898 6838 8153 8216 9796 13676 16306 19592 20777 27352 31837 32612 41554 63674 65224 83108 105989 127348 166216 211978 254696 270101 423956 540202 644087 847912 1080404 1288174 2160808 2576348 5152696 8373131 16746262 33492524 66985048