Search a number
-
+
5217047640 = 2332572295751
BaseRepresentation
bin1001101101111010…
…11101010001011000
3111110120210110221200
410312331131101120
541141031011030
62221403234200
7243166113300
oct46675352130
914416713850
105217047640
112237984122
121017218960
13651b0454c
14376c40600
1520802bd60
hex136f5d458

5217047640 has 144 divisors (see below), whose sum is σ = 19723700880. Its totient is φ = 1192464000.

The previous prime is 5217047609. The next prime is 5217047651. The reversal of 5217047640 is 467407125.

5217047640 is a `hidden beast` number, since 5 + 2 + 1 + 7 + 0 + 4 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5217047595 and 5217047604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130236 + ... + 165515.

It is an arithmetic number, because the mean of its divisors is an integer number (136970145).

Almost surely, 25217047640 is an apocalyptic number.

It is an amenable number.

5217047640 is an abundant number, since it is smaller than the sum of its proper divisors (14506653240).

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

5217047640 is a wasteful number, since it uses less digits than its factorization.

5217047640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295782 (or 295768 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5217047640 is about 72229.1329035591. The cubic root of 5217047640 is about 1734.3693932519.

The spelling of 5217047640 in words is "five billion, two hundred seventeen million, forty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 295751 591502 887253 1183004 1478755 1774506 2070257 2366008 2661759 2957510 3549012 4140514 4436265 5323518 5915020 6210771 7098024 8281028 8872530 10351285 10647036 11830040 12421542 13308795 14491799 16562056 17745060 18632313 20702570 21294072 24843084 26617590 28983598 31053855 35490120 37264626 41405140 43475397 49686168 53235180 57967196 62107710 72458995 74529252 82810280 86950794 93161565 106470360 115934392 124215420 130426191 144917990 149058504 173901588 186323130 217376985 248430840 260852382 289835980 347803176 372646260 434753970 521704764 579671960 652130955 745292520 869507940 1043409528 1304261910 1739015880 2608523820 5217047640