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66468232 = 23171929887
BaseRepresentation
bin1111110110001…
…1100110001000
311122001221021101
43331203212020
5114003440412
610332351144
71434653635
oct375434610
9148057241
1066468232
1134579626
121a3154b4
1310a0311c
148b8318c
155c7e457
hex3f63988

66468232 has 64 divisors (see below), whose sum is σ = 143856000. Its totient is φ = 28578816.

The previous prime is 66468211. The next prime is 66468277. The reversal of 66468232 is 23286466.

It is a junction number, because it is equal to n+sod(n) for n = 66468191 and 66468200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74493 + ... + 75379.

It is an arithmetic number, because the mean of its divisors is an integer number (2247750).

Almost surely, 266468232 is an apocalyptic number.

It is an amenable number.

66468232 is an abundant number, since it is smaller than the sum of its proper divisors (77387768).

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

66468232 is a wasteful number, since it uses less digits than its factorization.

66468232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 66468232 is about 8152.8051614153. The cubic root of 66468232 is about 405.0774266438.

It can be divided in two parts, 6646 and 8232, that added together give a triangular number (14878 = T172).

The spelling of 66468232 in words is "sixty-six million, four hundred sixty-eight thousand, two hundred thirty-two".

Divisors: 1 2 4 8 17 19 29 34 38 58 68 76 116 136 152 232 323 493 551 646 887 986 1102 1292 1774 1972 2204 2584 3548 3944 4408 7096 9367 15079 16853 18734 25723 30158 33706 37468 51446 60316 67412 74936 102892 120632 134824 205784 286501 437291 488737 573002 874582 977474 1146004 1749164 1954948 2292008 3498328 3909896 8308529 16617058 33234116 66468232