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66753984 = 2631131607
BaseRepresentation
bin1111111010100…
…1010111000000
311122121110020210
43332221113000
5114042111414
610342434120
71440254013
oct376512700
9148543223
1066753984
1134754290
121a432940
1310aa31cb
148c1937a
155cd8e59
hex3fa95c0

66753984 has 56 divisors (see below), whose sum is σ = 192682368. Its totient is φ = 20227840.

The previous prime is 66753949. The next prime is 66754003. The reversal of 66753984 is 48935766.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 13692 + ... + 17915.

Almost surely, 266753984 is an apocalyptic number.

66753984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66753984 is an abundant number, since it is smaller than the sum of its proper divisors (125928384).

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

66753984 is a wasteful number, since it uses less digits than its factorization.

66753984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31633 (or 31623 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 66753984 is about 8170.3111323866. The cubic root of 66753984 is about 405.6570830264.

The spelling of 66753984 in words is "sixty-six million, seven hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 31607 63214 94821 126428 189642 252856 347677 379284 505712 695354 758568 1011424 1043031 1390708 1517136 2022848 2086062 2781416 3034272 4172124 5562832 6068544 8344248 11125664 16688496 22251328 33376992 66753984