Search a number
-
+
5480036352 = 21132742473
BaseRepresentation
bin1010001101010001…
…01011100000000000
3112010220122200122100
411012220223200000
542210342130402
62303440110400
7252541353240
oct50650534000
915126580570
105480036352
11236237946a
12108b305400
13694443c7b
1439db3bb20
1522117971c
hex146a2b800

5480036352 has 144 divisors (see below), whose sum is σ = 18088827120. Its totient is φ = 1565687808.

The previous prime is 5480036311. The next prime is 5480036369. The reversal of 5480036352 is 2536300845.

It is a happy number.

5480036352 is a `hidden beast` number, since 548 + 0 + 0 + 3 + 63 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107788 + ... + 150260.

It is an arithmetic number, because the mean of its divisors is an integer number (125616855).

Almost surely, 25480036352 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 5480036352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9044413560).

5480036352 is an abundant number, since it is smaller than the sum of its proper divisors (12608790768).

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

5480036352 is a wasteful number, since it uses less digits than its factorization.

5480036352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42508 (or 42485 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5480036352 is about 74027.2676248421. The cubic root of 5480036352 is about 1763.0358622925.

The spelling of 5480036352 in words is "five billion, four hundred eighty million, thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 42473 43008 64512 84946 127419 129024 169892 254838 297311 339784 382257 509676 594622 679568 764514 891933 1019352 1189244 1359136 1529028 1783866 2038704 2378488 2675799 2718272 3058056 3567732 4077408 4756976 5351598 5436544 6116112 7135464 8154816 9513952 10703196 10873088 12232224 14270928 16309632 19027904 21406392 21746176 24464448 28541856 32619264 38055808 42812784 43492352 48928896 57083712 65238528 76111616 85625568 86984704 97857792 114167424 130477056 152223232 171251136 195715584 228334848 260954112 304446464 342502272 391431168 456669696 608892928 685004544 782862336 913339392 1370009088 1826678784 2740018176 5480036352