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64692096 = 273741587
BaseRepresentation
bin1111011011000…
…1111110000000
311111201200212120
43312301332000
5113030121341
610230324240
71413605460
oct366617600
9144650776
1064692096
1133576147
12197b9680
1310530861
14883dba0
155a2d066
hex3db1f80

64692096 has 128 divisors (see below), whose sum is σ = 201519360. Its totient is φ = 18001920.

The previous prime is 64692037. The next prime is 64692097. The reversal of 64692096 is 69029646.

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

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 (64692097) 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, 109915 + ... + 110501.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 264692096 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 64692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759680).

64692096 is an abundant number, since it is smaller than the sum of its proper divisors (136827264).

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

64692096 is a wasteful number, since it uses less digits than its factorization.

64692096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 64692096 is about 8043.1396854711. The cubic root of 64692096 is about 401.4367002197.

The spelling of 64692096 in words is "sixty-four million, six hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 587 656 672 861 896 984 1148 1174 1312 1344 1722 1761 1968 2296 2348 2624 2688 3444 3522 3936 4109 4592 4696 5248 6888 7044 7872 8218 9184 9392 12327 13776 14088 15744 16436 18368 18784 24067 24654 27552 28176 32872 36736 37568 48134 49308 55104 56352 65744 72201 75136 96268 98616 110208 112704 131488 144402 168469 192536 197232 225408 262976 288804 336938 385072 394464 505407 525952 577608 673876 770144 788928 1010814 1155216 1347752 1540288 1577856 2021628 2310432 2695504 3080576 4043256 4620864 5391008 8086512 9241728 10782016 16173024 21564032 32346048 64692096