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5749440 = 263553113
BaseRepresentation
bin10101111011101011000000
3101211002202020
4111323223000
52432440230
6323121440
766604134
oct25735300
911732666
105749440
113277704
121b13280
131263c48
14a993c4
15788810
hex57bac0

5749440 has 112 divisors (see below), whose sum is σ = 18763488. Its totient is φ = 1490944.

The previous prime is 5749427. The next prime is 5749441. The reversal of 5749440 is 449475.

It is a happy number.

5749440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5749441) 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, 50824 + ... + 50936.

Almost surely, 25749440 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 5749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381744).

5749440 is an abundant number, since it is smaller than the sum of its proper divisors (13014048).

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

5749440 is a wasteful number, since it uses less digits than its factorization.

5749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5749440 is about 2397.7989907413. The cubic root of 5749440 is about 179.1465774002.

The spelling of 5749440 in words is "five million, seven hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 113 120 159 160 192 212 226 240 265 318 320 339 424 452 480 530 565 636 678 795 848 904 960 1060 1130 1272 1356 1590 1695 1696 1808 2120 2260 2544 2712 3180 3390 3392 3616 4240 4520 5088 5424 5989 6360 6780 7232 8480 9040 10176 10848 11978 12720 13560 16960 17967 18080 21696 23956 25440 27120 29945 35934 36160 47912 50880 54240 59890 71868 89835 95824 108480 119780 143736 179670 191648 239560 287472 359340 383296 479120 574944 718680 958240 1149888 1437360 1916480 2874720 5749440