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66769272 = 2334167617
BaseRepresentation
bin1111111010110…
…1000101111000
311122122020020000
43332231011320
5114043104042
610343033000
71440346413
oct376550570
9148566200
1066769272
1134764819
121a43b760
1310aaa15b
148c20b7a
155cdd74c
hex3fad178

66769272 has 80 divisors (see below), whose sum is σ = 188440560. Its totient is φ = 22087296.

The previous prime is 66769237. The next prime is 66769273. The reversal of 66769272 is 27296766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66769273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107908 + ... + 108524.

It is an arithmetic number, because the mean of its divisors is an integer number (2355507).

Almost surely, 266769272 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 66769272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94220280).

66769272 is an abundant number, since it is smaller than the sum of its proper divisors (121671288).

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

66769272 is a wasteful number, since it uses less digits than its factorization.

66769272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 789 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 66769272 is about 8171.2466613118. The cubic root of 66769272 is about 405.6880485295.

The spelling of 66769272 in words is "sixty-six million, seven hundred sixty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 324 334 501 617 648 668 1002 1234 1336 1503 1851 2004 2468 3006 3702 4008 4509 4936 5553 6012 7404 9018 11106 12024 13527 14808 16659 18036 22212 27054 33318 36072 44424 49977 54108 66636 99954 103039 108216 133272 199908 206078 309117 399816 412156 618234 824312 927351 1236468 1854702 2472936 2782053 3709404 5564106 7418808 8346159 11128212 16692318 22256424 33384636 66769272