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66253488 = 24372171657
BaseRepresentation
bin1111110010111…
…1001010110000
311121200000200220
43330233022300
5113430102423
610324013040
71433100600
oct374571260
9147600626
1066253488
1134442254
121a231180
1310959462
148b28c00
155c3a9e3
hex3f2f2b0

66253488 has 120 divisors (see below), whose sum is σ = 210937392. Its totient is φ = 17805312.

The previous prime is 66253483. The next prime is 66253489. The reversal of 66253488 is 88435266.

It is a super-2 number, since 2×662534882 = 8779049344332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66253483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39156 + ... + 40812.

Almost surely, 266253488 is an apocalyptic number.

66253488 is a gapful number since it is divisible by the number (68) 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 66253488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105468696).

66253488 is an abundant number, since it is smaller than the sum of its proper divisors (144683904).

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

66253488 is a wasteful number, since it uses less digits than its factorization.

66253488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1686 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 66253488 is about 8139.6245613665. The cubic root of 66253488 is about 404.6407177964.

The spelling of 66253488 in words is "sixty-six million, two hundred fifty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1657 1666 1904 2352 2499 2856 3314 3332 4971 4998 5712 6628 6664 9942 9996 11599 13256 13328 19884 19992 23198 26512 28169 34797 39768 39984 46396 56338 69594 79536 81193 84507 92792 112676 139188 162386 169014 185584 197183 225352 243579 278376 324772 338028 394366 450704 487158 556752 591549 649544 676056 788732 974316 1183098 1299088 1352112 1380281 1577464 1948632 2366196 2760562 3154928 3897264 4140843 4732392 5521124 8281686 9464784 11042248 16563372 22084496 33126744 66253488