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5829096 = 23371317157
BaseRepresentation
bin10110001111000111101000
3101222011000110
4112033013220
52443012341
6324534320
7100355310
oct26170750
911864013
105829096
113321539
121b513a0
131291290
14aba440
157a2216
hex58f1e8

5829096 has 128 divisors (see below), whose sum is σ = 19111680. Its totient is φ = 1437696.

The previous prime is 5829071. The next prime is 5829119. The reversal of 5829096 is 6909285.

It is a happy number.

5829096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37050 + ... + 37206.

It is an arithmetic number, because the mean of its divisors is an integer number (149310).

Almost surely, 25829096 is an apocalyptic number.

5829096 is a gapful number since it is divisible by the number (56) 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 5829096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555840).

5829096 is an abundant number, since it is smaller than the sum of its proper divisors (13282584).

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

5829096 is a wasteful number, since it uses less digits than its factorization.

5829096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 5829096 is about 2414.3520869997. The cubic root of 5829096 is about 179.9701184965.

The spelling of 5829096 in words is "five million, eight hundred twenty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 157 168 182 204 221 238 273 312 314 357 364 408 442 471 476 546 628 663 714 728 884 942 952 1092 1099 1256 1326 1428 1547 1768 1884 2041 2184 2198 2652 2669 2856 3094 3297 3768 4082 4396 4641 5304 5338 6123 6188 6594 8007 8164 8792 9282 10676 12246 12376 13188 14287 16014 16328 18564 18683 21352 24492 26376 28574 32028 34697 37128 37366 42861 48984 56049 57148 64056 69394 74732 85722 104091 112098 114296 138788 149464 171444 208182 224196 242879 277576 342888 416364 448392 485758 728637 832728 971516 1457274 1943032 2914548 5829096