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66002352 = 24313192293
BaseRepresentation
bin1111101111000…
…1110110110000
311121012021012120
43323301312300
5113344033402
610314354240
71431003453
oct373616660
9147167176
1066002352
11342905a9
121a12b980
131089c060
148aa149a
155bdb3bc
hex3ef1db0

66002352 has 120 divisors (see below), whose sum is σ = 194456304. Its totient is φ = 19173888.

The previous prime is 66002327. The next prime is 66002357. The reversal of 66002352 is 25320066.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (66002357) 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, 225118 + ... + 225410.

Almost surely, 266002352 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 66002352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97228152).

66002352 is an abundant number, since it is smaller than the sum of its proper divisors (128453952).

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

66002352 is a wasteful number, since it uses less digits than its factorization.

66002352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 66002352 is about 8124.1831589397. The cubic root of 66002352 is about 404.1288025085.

The spelling of 66002352 in words is "sixty-six million, two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 293 304 312 361 456 494 586 624 722 741 879 912 988 1083 1172 1444 1482 1758 1976 2166 2344 2888 2964 3516 3809 3952 4332 4688 4693 5567 5776 5928 7032 7618 8664 9386 11134 11427 11856 14064 14079 15236 16701 17328 18772 22268 22854 28158 30472 33402 37544 44536 45708 56316 60944 66804 72371 75088 89072 91416 105773 112632 133608 144742 182832 211546 217113 225264 267216 289484 317319 423092 434226 578968 634638 846184 868452 1157936 1269276 1375049 1692368 1736904 2538552 2750098 3473808 4125147 5077104 5500196 8250294 11000392 16500588 22000784 33001176 66002352