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64299480 = 23357411867
BaseRepresentation
bin1111010101001…
…0000111011000
311110222202022020
43311102013120
5112430040410
610214054440
71410352020
oct365220730
9143882266
1064299480
1133328173
121964a420
1310423c3b
14877aa80
1559a1a70
hex3d521d8

64299480 has 128 divisors (see below), whose sum is σ = 225953280. Its totient is φ = 14330880.

The previous prime is 64299479. The next prime is 64299481. The reversal of 64299480 is 8499246.

64299480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64299479) and next prime (64299481).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64299481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33507 + ... + 35373.

It is an arithmetic number, because the mean of its divisors is an integer number (1765260).

Almost surely, 264299480 is an apocalyptic number.

64299480 is a gapful number since it is divisible by the number (60) 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 64299480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112976640).

64299480 is an abundant number, since it is smaller than the sum of its proper divisors (161653800).

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

64299480 is a wasteful number, since it uses less digits than its factorization.

64299480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 64299480 is about 8018.6956545314. The cubic root of 64299480 is about 400.6229460087.

The spelling of 64299480 in words is "sixty-four million, two hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 1867 2296 2460 2870 3444 3734 4305 4920 5601 5740 6888 7468 8610 9335 11202 11480 13069 14936 17220 18670 22404 26138 28005 34440 37340 39207 44808 52276 56010 65345 74680 76547 78414 104552 112020 130690 153094 156828 196035 224040 229641 261380 306188 313656 382735 392070 459282 522760 535829 612376 765470 784140 918564 1071658 1148205 1530940 1568280 1607487 1837128 2143316 2296410 2679145 3061880 3214974 4286632 4592820 5358290 6429948 8037435 9185640 10716580 12859896 16074870 21433160 32149740 64299480