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66949504 = 272322741
BaseRepresentation
bin1111111101100…
…1000110000000
311122222101110021
43333121012000
5114114341004
610350543224
71442030026
oct377310600
9148871407
1066949504
1134878176
121a507b14
1310b411bb
148c6a716
155d26d54
hex3fd9180

66949504 has 32 divisors (see below), whose sum is σ = 139181040. Its totient is φ = 32017920.

The previous prime is 66949471. The next prime is 66949507. The reversal of 66949504 is 40594966.

It is a happy number.

66949504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66949507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8427 + ... + 14314.

Almost surely, 266949504 is an apocalyptic number.

66949504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66949504 is an abundant number, since it is smaller than the sum of its proper divisors (72231536).

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

66949504 is a wasteful number, since it uses less digits than its factorization.

66949504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22778 (or 22766 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 66949504 is about 8182.2676563408. The cubic root of 66949504 is about 406.0527486125.

Subtracting from 66949504 its product of nonzero digits (233280), we obtain a square (66716224 = 81682).

The spelling of 66949504 in words is "sixty-six million, nine hundred forty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 22741 45482 90964 181928 363856 523043 727712 1046086 1455424 2092172 2910848 4184344 8368688 16737376 33474752 66949504