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5803538928 = 2431129675657
BaseRepresentation
bin1010110011110101…
…01111100111110000
3112222110101022202020
411121322233213300
543341201221203
62355513551440
7263550160365
oct53172574760
915873338666
105803538928
112508a45770
12115b715580
13716480505
143d0aac46c
1523e77c153
hex159eaf9f0

5803538928 has 160 divisors (see below), whose sum is σ = 17174972160. Its totient is φ = 1672366080.

The previous prime is 5803538921. The next prime is 5803538929. The reversal of 5803538928 is 8298353085.

It is a super-2 number, since 2×58035389282 = 67362128177622778368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5803538921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023076 + ... + 1028732.

It is an arithmetic number, because the mean of its divisors is an integer number (107343576).

Almost surely, 25803538928 is an apocalyptic number.

5803538928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5803538928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587486080).

5803538928 is an abundant number, since it is smaller than the sum of its proper divisors (11371433232).

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

5803538928 is a wasteful number, since it uses less digits than its factorization.

5803538928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 5803538928 is about 76180.9617161663. The cubic root of 5803538928 is about 1797.0671300315.

The spelling of 5803538928 in words is "five billion, eight hundred three million, five hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 67 87 88 116 132 134 174 176 201 232 264 268 319 348 402 464 528 536 638 696 737 804 957 1072 1276 1392 1474 1608 1914 1943 2211 2552 2948 3216 3828 3886 4422 5104 5657 5829 5896 7656 7772 8844 11314 11658 11792 15312 15544 16971 17688 21373 22628 23316 31088 33942 35376 42746 45256 46632 62227 64119 67884 85492 90512 93264 124454 128238 135768 164053 170984 186681 248908 256476 271536 328106 341968 373362 379019 492159 497816 512952 656212 746724 758038 984318 995632 1025904 1137057 1312424 1493448 1516076 1804583 1968636 2274114 2624848 2986896 3032152 3609166 3937272 4169209 4548228 5413749 6064304 7218332 7874544 8338418 9096456 10827498 10991551 12507627 14436664 16676836 18192912 21654996 21983102 25015254 28873328 32974653 33353672 43309992 43966204 50030508 65949306 66707344 86619984 87932408 100061016 120907061 131898612 175864816 200122032 241814122 263797224 362721183 483628244 527594448 725442366 967256488 1450884732 1934512976 2901769464 5803538928