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5410323828 = 2233721378643
BaseRepresentation
bin1010000100111101…
…01111110101110100
3111222001110221001000
411002132233311310
542040020330303
62252510003300
7251033664600
oct50236576564
914861427030
105410323828
112326a94408
12106baa6530
13682b76260
14394792500
15219ea8da3
hex1427afd74

5410323828 has 144 divisors (see below), whose sum is σ = 17572215360. Its totient is φ = 1426880448.

The previous prime is 5410323823. The next prime is 5410323829. The reversal of 5410323828 is 8283230145.

5410323828 is a `hidden beast` number, since 5 + 410 + 3 + 238 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5410323792 and 5410323801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410323823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29475 + ... + 108117.

Almost surely, 25410323828 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 5410323828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786107680).

5410323828 is an abundant number, since it is smaller than the sum of its proper divisors (12161891532).

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

5410323828 is a wasteful number, since it uses less digits than its factorization.

5410323828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78683 (or 78668 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5410323828 is about 73554.9034939208. The cubic root of 5410323828 is about 1755.5279703055.

The spelling of 5410323828 in words is "five billion, four hundred ten million, three hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 68796 78643 157286 235929 314572 471858 550501 707787 943716 1022359 1101002 1415574 1651503 2044718 2123361 2202004 2831148 3067077 3303006 3853507 4089436 4246722 4954509 6134154 6606012 7156513 7707014 8493444 9201231 9909018 11560521 12268308 14313026 14863527 15414028 18402462 19818036 21469539 23121042 27603693 28626052 29727054 34681563 36804924 42939078 46242084 50095591 55207386 59454108 64408617 69363126 85878156 100191182 104044689 110414772 128817234 138726252 150286773 193225851 200382364 208089378 257634468 300573546 386451702 416178756 450860319 601147092 772903404 901720638 1352580957 1803441276 2705161914 5410323828