Search a number
-
+
5174527440 = 2435314491549
BaseRepresentation
bin1001101000110110…
…10000010111010000
3111100121210020012110
410310123100113100
541044134334230
62213244025320
7242141520555
oct46433202720
914317706173
105174527440
112215982065
121004b32240
13646067874
14371332a2c
1520442d4b0
hex1346d05d0

5174527440 has 160 divisors (see below), whose sum is σ = 16606080000. Its totient is φ = 1331527680.

The previous prime is 5174527427. The next prime is 5174527447. The reversal of 5174527440 is 447254715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5174527447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3339786 + ... + 3341334.

It is an arithmetic number, because the mean of its divisors is an integer number (103788000).

Almost surely, 25174527440 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 5174527440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040000).

5174527440 is an abundant number, since it is smaller than the sum of its proper divisors (11431552560).

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

5174527440 is a wasteful number, since it uses less digits than its factorization.

5174527440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 39.

The square root of 5174527440 is about 71934.1882556549. The cubic root of 5174527440 is about 1729.6446907498.

The spelling of 5174527440 in words is "five billion, one hundred seventy-four million, five hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 449 465 496 620 744 898 930 1240 1347 1488 1549 1796 1860 2245 2480 2694 3098 3592 3720 4490 4647 5388 6196 6735 7184 7440 7745 8980 9294 10776 12392 13470 13919 15490 17960 18588 21552 23235 24784 26940 27838 30980 35920 37176 41757 46470 48019 53880 55676 61960 69595 74352 83514 92940 96038 107760 111352 123920 139190 144057 167028 185880 192076 208785 222704 240095 278380 288114 334056 371760 384152 417570 480190 556760 576228 668112 695501 720285 768304 835140 960380 1113520 1152456 1391002 1440570 1670280 1920760 2086503 2304912 2782004 2881140 3340560 3477505 3841520 4173006 5564008 5762280 6955010 8346012 10432515 11128016 11524560 13910020 16692024 20865030 21560531 27820040 33384048 41730060 43121062 55640080 64681593 83460120 86242124 107802655 129363186 166920240 172484248 215605310 258726372 323407965 344968496 431210620 517452744 646815930 862421240 1034905488 1293631860 1724842480 2587263720 5174527440