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64905948 = 22341631229
BaseRepresentation
bin1111011110011…
…0001011011100
311112010120020000
43313212023130
5113103442243
610235054300
71415456112
oct367461334
9145116200
1064905948
1133701888
12198a1390
13105a6cb3
148897ab2
155a715d3
hex3de62dc

64905948 has 60 divisors (see below), whose sum is σ = 170856840. Its totient is φ = 21485088.

The previous prime is 64905941. The next prime is 64905961. The reversal of 64905948 is 84950946.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64905941) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52198 + ... + 53426.

It is an arithmetic number, because the mean of its divisors is an integer number (2847614).

Almost surely, 264905948 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 64905948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85428420).

64905948 is an abundant number, since it is smaller than the sum of its proper divisors (105950892).

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

64905948 is a wasteful number, since it uses less digits than its factorization.

64905948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 64905948 is about 8056.4227793730. The cubic root of 64905948 is about 401.8785554292.

The spelling of 64905948 in words is "sixty-four million, nine hundred five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 324 326 489 652 978 1229 1467 1956 2458 2934 3687 4401 4916 5868 7374 8802 11061 13203 14748 17604 22122 26406 33183 44244 52812 66366 99549 132732 199098 200327 398196 400654 600981 801308 1201962 1802943 2403924 3605886 5408829 7211772 10817658 16226487 21635316 32452974 64905948