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5240478540 = 22351121937991
BaseRepresentation
bin1001110000101101…
…10101101101001100
3111112012212220002210
410320112311231030
541213030303130
62224001350420
7243602222043
oct47026655514
914465786083
105240478540
11224a128100
121023038410
1365691949b
14379dbd55a
1520a1095b0
hex1385b5b4c

5240478540 has 144 divisors (see below), whose sum is σ = 16977864960. Its totient is φ = 1203523200.

The previous prime is 5240478533. The next prime is 5240478541. The reversal of 5240478540 is 458740425.

It is not an unprimeable number, because it can be changed into a prime (5240478541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118945 + ... + 156935.

It is an arithmetic number, because the mean of its divisors is an integer number (117901840).

Almost surely, 25240478540 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 5240478540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8488932480).

5240478540 is an abundant number, since it is smaller than the sum of its proper divisors (11737386420).

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

5240478540 is a wasteful number, since it uses less digits than its factorization.

5240478540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38044 (or 38031 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The square root of 5240478540 is about 72391.1495971711. The cubic root of 5240478540 is about 1736.9619930110.

The spelling of 5240478540 in words is "five billion, two hundred forty million, four hundred seventy-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 836 1045 1140 1210 1254 1452 1815 2090 2299 2420 2508 3135 3630 4180 4598 6270 6897 7260 9196 11495 12540 13794 22990 27588 34485 37991 45980 68970 75982 113973 137940 151964 189955 227946 379910 417901 455892 569865 721829 759820 835802 1139730 1253703 1443658 1671604 2089505 2165487 2279460 2507406 2887316 3609145 4179010 4330974 4596911 5014812 6268515 7218290 7940119 8358020 8661948 9193822 10827435 12537030 13790733 14436580 15880238 18387644 21654870 22984555 23820357 25074060 27581466 31760476 39700595 43309740 45969110 47640714 55162932 68953665 79401190 87341309 91938220 95281428 119101785 137907330 158802380 174682618 238203570 262023927 275814660 349365236 436706545 476407140 524047854 873413090 1048095708 1310119635 1746826180 2620239270 5240478540