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66982476 = 223114311801
BaseRepresentation
bin1111111110000…
…1001001001100
311200001001200110
43333201021030
5114121414401
610351400020
71442225121
oct377411114
9150031613
1066982476
113489aa20
121a523010
1310b53202
148c78748
155d319d6
hex3fe124c

66982476 has 48 divisors (see below), whose sum is σ = 174480768. Its totient is φ = 19824000.

The previous prime is 66982427. The next prime is 66982483. The reversal of 66982476 is 67428966.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225 + ... + 11576.

It is an arithmetic number, because the mean of its divisors is an integer number (3635016).

Almost surely, 266982476 is an apocalyptic number.

66982476 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66982476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87240384).

66982476 is an abundant number, since it is smaller than the sum of its proper divisors (107498292).

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

66982476 is a wasteful number, since it uses less digits than its factorization.

66982476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11862 (or 11860 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 66982476 is about 8184.2822531973. The cubic root of 66982476 is about 406.1193967236.

The spelling of 66982476 in words is "sixty-six million, nine hundred eighty-two thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 11801 23602 35403 47204 70806 129811 141612 259622 389433 507443 519244 778866 1014886 1522329 1557732 2029772 3044658 5581873 6089316 11163746 16745619 22327492 33491238 66982476