Search a number
-
+
5478881940 = 22325717772447
BaseRepresentation
bin1010001101001000…
…10001101010010100
3112010211111001002100
411012210101222110
542210043210230
62303355242100
7252525504510
oct50644215224
915124431070
105478881940
112361760104
12108aa49330
1369412b69c
1439d91b140
15220eec660
hex146911a94

5478881940 has 144 divisors (see below), whose sum is σ = 19011912192. Its totient is φ = 1251099648.

The previous prime is 5478881917. The next prime is 5478881951. The reversal of 5478881940 is 491888745.

5478881940 is a `hidden beast` number, since 5 + 478 + 8 + 81 + 94 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2237797 + ... + 2240243.

It is an arithmetic number, because the mean of its divisors is an integer number (132027168).

Almost surely, 25478881940 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 5478881940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505956096).

5478881940 is an abundant number, since it is smaller than the sum of its proper divisors (13533030252).

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

5478881940 is a wasteful number, since it uses less digits than its factorization.

5478881940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 5478881940 is about 74019.4700062085. The cubic root of 5478881940 is about 1762.9120545562.

The spelling of 5478881940 in words is "five billion, four hundred seventy-eight million, eight hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1777 2447 3554 4894 5331 7108 7341 8885 9788 10662 12235 12439 14682 15993 17129 17770 21324 22023 24470 24878 26655 29364 31986 34258 35540 36705 37317 44046 48940 49756 51387 53310 62195 63972 68516 73410 74634 79965 85645 88092 102774 106620 110115 111951 124390 146820 149268 154161 159930 171290 186585 205548 220230 223902 248780 256935 308322 319860 342580 373170 440460 447804 513870 559755 616644 746340 770805 1027740 1119510 1541610 2239020 3083220 4348319 8696638 13044957 17393276 21741595 26089914 30438233 39134871 43483190 52179828 60876466 65224785 78269742 86966380 91314699 121752932 130449570 152191165 156539484 182629398 195674355 260899140 273944097 304382330 365258796 391348710 456573495 547888194 608764660 782697420 913146990 1095776388 1369720485 1826293980 2739440970 5478881940