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5405088 = 253136171
BaseRepresentation
bin10100100111100110100000
3101011121101110
4110213212200
52340430323
6311503320
763641163
oct24474640
911147343
105405088
113061a17
121987b40
1311732a0
14a09ada
1571b793
hex5279a0

5405088 has 96 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1612800.

The previous prime is 5405083. The next prime is 5405093. The reversal of 5405088 is 8805045.

It is an interprime number because it is at equal distance from previous prime (5405083) and next prime (5405093).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76093 + ... + 76163.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 25405088 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 5405088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5405088 is an abundant number, since it is smaller than the sum of its proper divisors (10343904).

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

5405088 is a wasteful number, since it uses less digits than its factorization.

5405088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5405088 is about 2324.8845132608. The cubic root of 5405088 is about 175.4961484857.

The spelling of 5405088 in words is "five million, four hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 71 78 96 104 122 142 156 183 208 213 244 284 312 366 416 426 488 568 624 732 793 852 923 976 1136 1248 1464 1586 1704 1846 1952 2272 2379 2769 2928 3172 3408 3692 4331 4758 5538 5856 6344 6816 7384 8662 9516 11076 12688 12993 14768 17324 19032 22152 25376 25986 29536 34648 38064 44304 51972 56303 69296 76128 88608 103944 112606 138592 168909 207888 225212 337818 415776 450424 675636 900848 1351272 1801696 2702544 5405088