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5748480 = 28325499
BaseRepresentation
bin10101111011011100000000
3101211001102200
4111323130000
52432422410
6323113200
766601263
oct25733400
911731380
105748480
113276a11
121b12800
13126368a
14a98cda
157883c0
hex57b700

5748480 has 108 divisors (see below), whose sum is σ = 19929000. Its totient is φ = 1529856.

The previous prime is 5748473. The next prime is 5748481. The reversal of 5748480 is 848475.

5748480 is a `hidden beast` number, since 574 + 8 + 4 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5748481) by changing a digit.

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, 11271 + ... + 11769.

Almost surely, 25748480 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 5748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9964500).

5748480 is an abundant number, since it is smaller than the sum of its proper divisors (14180520).

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

5748480 is a wasteful number, since it uses less digits than its factorization.

5748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5748480 is about 2397.5987987985. The cubic root of 5748480 is about 179.1366059777.

The spelling of 5748480 in words is "five million, seven hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 499 576 640 720 768 960 998 1152 1280 1440 1497 1920 1996 2304 2495 2880 2994 3840 3992 4491 4990 5760 5988 7485 7984 8982 9980 11520 11976 14970 15968 17964 19960 22455 23952 29940 31936 35928 39920 44910 47904 59880 63872 71856 79840 89820 95808 119760 127744 143712 159680 179640 191616 239520 287424 319360 359280 383232 479040 574848 638720 718560 958080 1149696 1437120 1916160 2874240 5748480