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5480300448 = 2532719713799
BaseRepresentation
bin1010001101010011…
…01011111110100000
3112010221011002220200
411012221223332200
542210424103243
62303445505200
7252543533220
oct50651537640
915127132820
105480300448
112362539927
12108b412200
1369450723c
1439dbaa080
152211ccad3
hex146a6bfa0

5480300448 has 144 divisors (see below), whose sum is σ = 17902684800. Its totient is φ = 1557739008.

The previous prime is 5480300393. The next prime is 5480300453. The reversal of 5480300448 is 8440030845.

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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 390253 + ... + 404051.

It is an arithmetic number, because the mean of its divisors is an integer number (124324200).

Almost surely, 25480300448 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 5480300448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951342400).

5480300448 is an abundant number, since it is smaller than the sum of its proper divisors (12422384352).

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

5480300448 is a wasteful number, since it uses less digits than its factorization.

5480300448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14019 (or 14008 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5480300448 is about 74029.0513784960. The cubic root of 5480300448 is about 1763.0641834696.

The spelling of 5480300448 in words is "five billion, four hundred eighty million, three hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 197 224 252 288 336 394 504 591 672 788 1008 1182 1379 1576 1773 2016 2364 2758 3152 3546 4137 4728 5516 6304 7092 8274 9456 11032 12411 13799 14184 16548 18912 22064 24822 27598 28368 33096 41397 44128 49644 55196 56736 66192 82794 96593 99288 110392 124191 132384 165588 193186 198576 220784 248382 289779 331176 386372 397152 441568 496764 579558 662352 772744 869337 993528 1159116 1324704 1545488 1738674 1987056 2318232 2718403 3090976 3477348 3974112 4636464 5436806 6954696 8155209 9272928 10873612 13909392 16310418 19028821 21747224 24465627 27818784 32620836 38057642 43494448 48931254 57086463 65241672 76115284 86988896 97862508 114172926 130483344 152230568 171259389 195725016 228345852 260966688 304461136 342518778 391450032 456691704 608922272 685037556 782900064 913383408 1370075112 1826766816 2740150224 5480300448