Search a number
-
+
66327552 = 210332399
BaseRepresentation
bin1111110100000…
…1010000000000
311121210210022000
43331001100000
5113434440202
610325344000
71433526534
oct375012000
9147723260
1066327552
1134492965
121a268000
1310984095
148b47bc4
155c5291c
hex3f41400

66327552 has 88 divisors (see below), whose sum is σ = 196512000. Its totient is φ = 22099968.

The previous prime is 66327551. The next prime is 66327577. The reversal of 66327552 is 25572366.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66327551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26449 + ... + 28847.

Almost surely, 266327552 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 66327552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98256000).

66327552 is an abundant number, since it is smaller than the sum of its proper divisors (130184448).

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

66327552 is a wasteful number, since it uses less digits than its factorization.

66327552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2404 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 66327552 is about 8144.1728861806. The cubic root of 66327552 is about 404.7914426891.

The spelling of 66327552 in words is "sixty-six million, three hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 2399 3072 3456 4608 4798 6912 7197 9216 9596 13824 14394 19192 21591 27648 28788 38384 43182 57576 64773 76768 86364 115152 129546 153536 172728 230304 259092 307072 345456 460608 518184 614144 690912 921216 1036368 1228288 1381824 1842432 2072736 2456576 2763648 3684864 4145472 5527296 7369728 8290944 11054592 16581888 22109184 33163776 66327552