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5746048 = 27711253
BaseRepresentation
bin10101111010110110000000
3101210221002121
4111322312000
52432333143
6323054024
766561220
oct25726600
911727077
105746048
113275100
121b11314
131262539
14a98080
157877ed
hex57ad80

5746048 has 96 divisors (see below), whose sum is σ = 14651280. Its totient is φ = 2196480.

The previous prime is 5746033. The next prime is 5746057. The reversal of 5746048 is 8406475.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108390 + ... + 108442.

Almost surely, 25746048 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 5746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640).

5746048 is an abundant number, since it is smaller than the sum of its proper divisors (8905232).

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

5746048 is a wasteful number, since it uses less digits than its factorization.

5746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 5746048 is about 2397.0915710502. The cubic root of 5746048 is about 179.1113400709. Note that the first 3 decimals are identical.

The spelling of 5746048 in words is "five million, seven hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 121 128 154 176 212 224 242 308 352 371 424 448 484 583 616 704 742 847 848 896 968 1166 1232 1408 1484 1694 1696 1936 2332 2464 2968 3388 3392 3872 4081 4664 4928 5936 6413 6776 6784 7744 8162 9328 9856 11872 12826 13552 15488 16324 18656 23744 25652 27104 32648 37312 44891 47488 51304 54208 65296 74624 89782 102608 108416 130592 179564 205216 261184 359128 410432 522368 718256 820864 1436512 2873024 5746048