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64325248 = 2713293143
BaseRepresentation
bin1111010101100…
…0011010000000
311111001001122121
43311120122000
5112431401443
610214414024
71410520111
oct365303200
9144031577
1064325248
1133345569
1219661314
13104328a0
148786208
1559a94ed
hex3d58680

64325248 has 128 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 27095040.

The previous prime is 64325243. The next prime is 64325257. The reversal of 64325248 is 84252346.

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

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (64325243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495915 + ... + 1495957.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 264325248 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 64325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

64325248 is an abundant number, since it is smaller than the sum of its proper divisors (86471552).

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

64325248 is a wasteful number, since it uses less digits than its factorization.

64325248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 64325248 is about 8020.3022386940. The cubic root of 64325248 is about 400.6764553754.

The spelling of 64325248 in words is "sixty-four million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 29 31 32 43 52 58 62 64 86 104 116 124 128 172 208 232 248 344 377 403 416 464 496 559 688 754 806 832 899 928 992 1118 1247 1333 1376 1508 1612 1664 1798 1856 1984 2236 2494 2666 2752 3016 3224 3596 3712 3968 4472 4988 5332 5504 6032 6448 7192 8944 9976 10664 11687 12064 12896 14384 16211 17329 17888 19952 21328 23374 24128 25792 28768 32422 34658 35776 38657 39904 42656 46748 48256 51584 57536 64844 69316 71552 77314 79808 85312 93496 115072 129688 138632 154628 159616 170624 186992 259376 277264 309256 373984 502541 518752 554528 618512 747968 1005082 1037504 1109056 1237024 1495936 2010164 2075008 2218112 2474048 4020328 4948096 8040656 16081312 32162624 64325248