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64149696 = 2632132659
BaseRepresentation
bin1111010010110…
…1100011000000
311110201010211200
43310231203000
5112410242241
610210541200
71406156232
oct364554300
9143633750
1064149696
1133235686
1219597800
13103a0a00
14873c252
1559724b6
hex3d2d8c0

64149696 has 126 divisors (see below), whose sum is σ = 199407780. Its totient is φ = 19708416.

The previous prime is 64149671. The next prime is 64149703. The reversal of 64149696 is 69694146.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97015 + ... + 97673.

Almost surely, 264149696 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 64149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99703890).

64149696 is an abundant number, since it is smaller than the sum of its proper divisors (135258084).

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

64149696 is a wasteful number, since it uses less digits than its factorization.

64149696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 677 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 64149696 is about 8009.3505354679. The cubic root of 64149696 is about 400.3116238301.

It can be divided in two parts, 6414 and 9696, that added together give a triangular number (16110 = T179).

The spelling of 64149696 in words is "sixty-four million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 659 676 832 936 1014 1248 1318 1352 1521 1872 1977 2028 2496 2636 2704 3042 3744 3954 4056 5272 5408 5931 6084 7488 7908 8112 8567 10544 10816 11862 12168 15816 16224 17134 21088 23724 24336 25701 31632 32448 34268 42176 47448 48672 51402 63264 68536 77103 94896 97344 102804 111371 126528 137072 154206 189792 205608 222742 274144 308412 334113 379584 411216 445484 548288 616824 668226 822432 890968 1002339 1233648 1336452 1644864 1781936 2004678 2467296 2672904 3563872 4009356 4934592 5345808 7127744 8018712 10691616 16037424 21383232 32074848 64149696