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66899448 = 233271121097
BaseRepresentation
bin1111111100110…
…0110111111000
311122212211210100
43333030313320
5114111240243
610345515400
71441431060
oct377146770
9148784710
1066899448
1134843600
121a4a2b60
1310b24495
148c563a0
155d170d3
hex3fccdf8

66899448 has 144 divisors (see below), whose sum is σ = 227813040. Its totient is φ = 17360640.

The previous prime is 66899423. The next prime is 66899477. The reversal of 66899448 is 84499866.

It is a super-2 number, since 2×668994482 = 8951072285409408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66899394 and 66899403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60436 + ... + 61532.

It is an arithmetic number, because the mean of its divisors is an integer number (1582035).

Almost surely, 266899448 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 66899448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113906520).

66899448 is an abundant number, since it is smaller than the sum of its proper divisors (160913592).

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

66899448 is a wasteful number, since it uses less digits than its factorization.

66899448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1120 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 66899448 is about 8179.2082746437. The cubic root of 66899448 is about 405.9515258360.

The spelling of 66899448 in words is "sixty-six million, eight hundred ninety-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1097 1386 1452 1694 1848 2178 2194 2541 2772 2904 3291 3388 4356 4388 5082 5544 6582 6776 7623 7679 8712 8776 9873 10164 12067 13164 15246 15358 19746 20328 23037 24134 26328 30492 30716 36201 39492 46074 48268 60984 61432 69111 72402 78984 84469 92148 96536 108603 132737 138222 144804 168938 184296 217206 253407 265474 276444 289608 337876 398211 434412 506814 530948 552888 675752 760221 796422 868824 929159 1013628 1061896 1194633 1520442 1592844 1858318 2027256 2389266 2787477 3040884 3185688 3716636 4778532 5574954 6081768 7433272 8362431 9557064 11149908 16724862 22299816 33449724 66899448