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664974048 = 25347293503
BaseRepresentation
bin100111101000101…
…011001011100000
31201100021011220110
4213220223023200
52330213132143
6145552411320
722323120564
oct4750531340
91640234813
10664974048
113113a6932
12166846b40
13a79c788b
146445b6a4
153d5a4533
hex27a2b2e0

664974048 has 96 divisors (see below), whose sum is σ = 1792336896. Its totient is φ = 215771648.

The previous prime is 664974043. The next prime is 664974083. The reversal of 664974048 is 840479466.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 664973988 and 664974006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664974043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1321765 + ... + 1322267.

It is an arithmetic number, because the mean of its divisors is an integer number (18670176).

Almost surely, 2664974048 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 664974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896168448).

664974048 is an abundant number, since it is smaller than the sum of its proper divisors (1127362848).

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

664974048 is a wasteful number, since it uses less digits than its factorization.

664974048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 664974048 is about 25787.0907238486. The cubic root of 664974048 is about 872.8405188587.

The spelling of 664974048 in words is "six hundred sixty-four million, nine hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 293 376 503 564 586 752 879 1006 1128 1172 1504 1509 1758 2012 2256 2344 3018 3516 4024 4512 4688 6036 7032 8048 9376 12072 13771 14064 16096 23641 24144 27542 28128 41313 47282 48288 55084 70923 82626 94564 110168 141846 147379 165252 189128 220336 283692 294758 330504 378256 440672 442137 567384 589516 661008 756512 884274 1134768 1179032 1322016 1768548 2269536 2358064 3537096 4716128 6926813 7074192 13853626 14148384 20780439 27707252 41560878 55414504 83121756 110829008 166243512 221658016 332487024 664974048