Search a number
-
+
5752440 = 2332519292
BaseRepresentation
bin10101111100011001111000
3101211020212100
4111330121320
52433034230
6323143400
766615651
oct25743170
911736770
105752440
113279991
121b14b60
131265415
14a9a528
15789660
hex57c678

5752440 has 144 divisors (see below), whose sum is σ = 20381400. Its totient is φ = 1403136.

The previous prime is 5752403. The next prime is 5752489. The reversal of 5752440 is 442575.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198346 + ... + 198374.

Almost surely, 25752440 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 5752440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10190700).

5752440 is an abundant number, since it is smaller than the sum of its proper divisors (14628960).

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

5752440 is a wasteful number, since it uses less digits than its factorization.

5752440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5752440 is about 2398.4244828637. The cubic root of 5752440 is about 179.1777309434.

The spelling of 5752440 in words is "five million, seven hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 29 30 36 38 40 45 57 58 60 72 76 87 90 95 114 116 120 145 152 171 174 180 190 228 232 261 285 290 342 348 360 380 435 456 522 551 570 580 684 696 760 841 855 870 1044 1102 1140 1160 1305 1368 1653 1682 1710 1740 2088 2204 2280 2523 2610 2755 3306 3364 3420 3480 4205 4408 4959 5046 5220 5510 6612 6728 6840 7569 8265 8410 9918 10092 10440 11020 12615 13224 15138 15979 16530 16820 19836 20184 22040 24795 25230 30276 31958 33060 33640 37845 39672 47937 49590 50460 60552 63916 66120 75690 79895 95874 99180 100920 127832 143811 151380 159790 191748 198360 239685 287622 302760 319580 383496 479370 575244 639160 719055 958740 1150488 1438110 1917480 2876220 5752440