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1480223424 = 26319405763
BaseRepresentation
bin101100000111010…
…0110101011000000
310211011022010210210
41120032212223000
511012414122144
6402514154120
751452456121
oct13016465300
93734263723
101480223424
1169a602849
12353882940
131a7889764
14100836048
1589e3eab9
hex583a6ac0

1480223424 has 56 divisors (see below), whose sum is σ = 4122562240. Its totient is φ = 467437824.

The previous prime is 1480223389. The next prime is 1480223431. The reversal of 1480223424 is 4243220841.

It is a super-2 number, since 2×14802234242 = 4382122769916567552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1480223391 and 1480223400.

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 7 ways as a sum of consecutive naturals, for example, 199234 + ... + 206529.

Almost surely, 21480223424 is an apocalyptic number.

It is an amenable number.

1480223424 is an abundant number, since it is smaller than the sum of its proper divisors (2642338816).

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

1480223424 is a wasteful number, since it uses less digits than its factorization.

1480223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405797 (or 405787 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 1480223424 is about 38473.6718289274. The cubic root of 1480223424 is about 1139.6611858623.

It can be divided in two parts, 14802 and 23424, that added together give a triangular number (38226 = T276).

The spelling of 1480223424 in words is "one billion, four hundred eighty million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 405763 811526 1217289 1623052 2434578 3246104 4869156 6492208 7709497 9738312 12984416 15418994 19476624 23128491 25968832 30837988 38953248 46256982 61675976 77906496 92513964 123351952 185027928 246703904 370055856 493407808 740111712 1480223424