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5948096 = 267111771
BaseRepresentation
bin10110101100001011000000
3102012012020212
4112230023000
53010314341
6331253252
7101362250
oct26541300
912165225
105948096
1133a2990
121baa228
1313034ab
14b0b960
157c75eb
hex5ac2c0

5948096 has 112 divisors (see below), whose sum is σ = 15800832. Its totient is φ = 2150400.

The previous prime is 5948069. The next prime is 5948101. The reversal of 5948096 is 6908495.

It is a tau number, because it is divible by the number of its divisors (112).

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, 83741 + ... + 83811.

Almost surely, 25948096 is an apocalyptic number.

5948096 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 5948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900416).

5948096 is an abundant number, since it is smaller than the sum of its proper divisors (9852736).

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

5948096 is a wasteful number, since it uses less digits than its factorization.

5948096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 5948096 is about 2438.8718703532. The cubic root of 5948096 is about 181.1865642454.

The spelling of 5948096 in words is "five million, nine hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 71 77 88 112 119 136 142 154 176 187 224 238 272 284 308 352 374 448 476 497 544 568 616 704 748 781 952 994 1088 1136 1207 1232 1309 1496 1562 1904 1988 2272 2414 2464 2618 2992 3124 3808 3976 4544 4828 4928 5236 5467 5984 6248 7616 7952 8449 9656 10472 10934 11968 12496 13277 15904 16898 19312 20944 21868 24992 26554 31808 33796 38624 41888 43736 49984 53108 67592 77248 83776 87472 92939 106216 135184 174944 185878 212432 270368 349888 371756 424864 540736 743512 849728 1487024 2974048 5948096