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64480248 = 23327314127
BaseRepresentation
bin1111010111111…
…0001111111000
311111022221021100
43311332033320
5113001331443
610222011400
71412034030
oct365761770
9144287240
1064480248
1133440a68
1219716b60
13104882c1
1487c68c0
1559da3d3
hex3d7e3f8

64480248 has 96 divisors (see below), whose sum is σ = 206069760. Its totient is φ = 17824320.

The previous prime is 64480237. The next prime is 64480289. The reversal of 64480248 is 84208446.

64480248 is a `hidden beast` number, since 644 + 8 + 0 + 2 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13561 + ... + 17687.

It is an arithmetic number, because the mean of its divisors is an integer number (2146560).

Almost surely, 264480248 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 64480248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103034880).

64480248 is an abundant number, since it is smaller than the sum of its proper divisors (141589512).

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

64480248 is a wasteful number, since it uses less digits than its factorization.

64480248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 64480248 is about 8029.9594021390. The cubic root of 64480248 is about 400.9980244636.

The spelling of 64480248 in words is "sixty-four million, four hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 4127 5208 7812 8254 12381 15624 16508 24762 28889 33016 37143 49524 57778 74286 86667 99048 115556 127937 148572 173334 231112 255874 260001 297144 346668 383811 511748 520002 693336 767622 895559 1023496 1040004 1151433 1535244 1791118 2080008 2302866 2686677 3070488 3582236 4605732 5373354 7164472 8060031 9211464 10746708 16120062 21493416 32240124 64480248