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4065863424 = 28371395441
BaseRepresentation
bin1111001001011000…
…0010011100000000
3101111100122021002020
43302112002130000
531311330112144
61511241321440
7202520161140
oct36226023400
911440567066
104065863424
1117a708a407
12955796280
134ca47245c
142a7dba920
1518be35419
hexf2582700

4065863424 has 144 divisors (see below), whose sum is σ = 12458261760. Its totient is φ = 1153105920.

The previous prime is 4065863411. The next prime is 4065863513. The reversal of 4065863424 is 4243685604.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744544 + ... + 749984.

Almost surely, 24065863424 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 4065863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229130880).

4065863424 is an abundant number, since it is smaller than the sum of its proper divisors (8392398336).

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

4065863424 is a wasteful number, since it uses less digits than its factorization.

4065863424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 4065863424 is about 63764.1233296593. The cubic root of 4065863424 is about 1596.0663033617.

The spelling of 4065863424 in words is "four billion, sixty-five million, eight hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 139 168 192 224 256 278 336 384 417 448 556 672 768 834 896 973 1112 1344 1668 1792 1946 2224 2688 2919 3336 3892 4448 5376 5441 5838 6672 7784 8896 10882 11676 13344 15568 16323 17792 21764 23352 26688 31136 32646 35584 38087 43528 46704 53376 62272 65292 76174 87056 93408 106752 114261 124544 130584 152348 174112 186816 228522 249088 261168 304696 348224 373632 457044 522336 609392 696448 747264 756299 914088 1044672 1218784 1392896 1512598 1828176 2089344 2268897 2437568 3025196 3656352 4178688 4537794 4875136 5294093 6050392 7312704 9075588 9750272 10588186 12100784 14625408 15882279 18151176 21176372 24201568 29250816 31764558 36302352 42352744 48403136 63529116 72604704 84705488 96806272 127058232 145209408 169410976 193612544 254116464 290418816 338821952 508232928 580837632 677643904 1016465856 1355287808 2032931712 4065863424