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64242048 = 2731317757
BaseRepresentation
bin1111010100010…
…0000110000000
311110212211112010
43311010012000
5112421221143
610212532520
71410022413
oct365040600
9143784463
1064242048
1133299002
1219621140
1310403a60
148763b7a
15598ea33
hex3d44180

64242048 has 128 divisors (see below), whose sum is σ = 194836320. Its totient is φ = 18579456.

The previous prime is 64242037. The next prime is 64242053. The reversal of 64242048 is 84024246.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 84486 + ... + 85242.

Almost surely, 264242048 is an apocalyptic number.

64242048 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97418160).

64242048 is an abundant number, since it is smaller than the sum of its proper divisors (130594272).

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

64242048 is a wasteful number, since it uses less digits than its factorization.

64242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 64242048 is about 8015.1137234602. The cubic root of 64242048 is about 400.5036322868.

The spelling of 64242048 in words is "sixty-four million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 757 816 832 884 1088 1248 1326 1514 1632 1664 1768 2176 2271 2496 2652 3028 3264 3536 4542 4992 5304 6056 6528 7072 9084 9841 10608 12112 12869 14144 18168 19682 21216 24224 25738 28288 29523 36336 38607 39364 42432 48448 51476 59046 72672 77214 78728 84864 96896 102952 118092 145344 154428 157456 167297 205904 236184 290688 308856 314912 334594 411808 472368 501891 617712 629824 669188 823616 944736 1003782 1235424 1259648 1338376 1647232 1889472 2007564 2470848 2676752 3778944 4015128 4941696 5353504 8030256 10707008 16060512 21414016 32121024 64242048