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264379794 = 23721924753
BaseRepresentation
bin11111100001000…
…01110110010010
3200102110212220020
433300201312102
51020140123134
642122324310
76360122400
oct1760416622
9612425806
10264379794
111262654a8
1274659696
1342a08963
1427180470
1518324b49
hexfc21d92

264379794 has 144 divisors (see below), whose sum is σ = 675485568. Its totient is φ = 68717376.

The previous prime is 264379783. The next prime is 264379799. The reversal of 264379794 is 497973462.

264379794 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264379799) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4988272 + ... + 4988324.

It is an arithmetic number, because the mean of its divisors is an integer number (4690872).

Almost surely, 2264379794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264379794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337742784).

264379794 is an abundant number, since it is smaller than the sum of its proper divisors (411105774).

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

264379794 is a wasteful number, since it uses less digits than its factorization.

264379794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The square root of 264379794 is about 16259.7599613278. The cubic root of 264379794 is about 641.8143454400.

The spelling of 264379794 in words is "two hundred sixty-four million, three hundred seventy-nine thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 49 53 57 94 98 106 114 133 141 147 159 266 282 294 318 329 361 371 399 658 722 742 798 893 931 987 1007 1083 1113 1786 1862 1974 2014 2166 2226 2303 2491 2527 2597 2679 2793 3021 4606 4982 5054 5194 5358 5586 6042 6251 6909 7049 7473 7581 7791 12502 13818 14098 14946 15162 15582 16967 17437 17689 18753 19133 21147 33934 34874 35378 37506 38266 42294 43757 47329 49343 50901 52311 53067 57399 87514 94658 98686 101802 104622 106134 114798 118769 122059 131271 133931 141987 148029 237538 244118 262542 267862 283974 296058 331303 356307 366177 401793 662606 712614 732354 803586 831383 899251 937517 993909 1662766 1798502 1875034 1987818 2319121 2494149 2697753 2812551 4638242 4988298 5395506 5625102 6294757 6957363 12589514 13914726 18884271 37768542 44063299 88126598 132189897 264379794