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1480690048 = 2779181809
BaseRepresentation
bin101100001000001…
…1000100110000000
310211012011211220011
41120100120212000
511013024040143
6402532154304
751456441415
oct13020304600
93735154804
101480690048
1169a8a1392
12353a68994
131a79c0c76
1410091810c
1589ed2e9d
hex58418980

1480690048 has 64 divisors (see below), whose sum is σ = 3007368000. Its totient is φ = 726036480.

The previous prime is 1480690009. The next prime is 1480690061. The reversal of 1480690048 is 8400960841.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1829868 + ... + 1830676.

It is an arithmetic number, because the mean of its divisors is an integer number (46990125).

Almost surely, 21480690048 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 1480690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503684000).

1480690048 is an abundant number, since it is smaller than the sum of its proper divisors (1526677952).

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

1480690048 is an equidigital number, since it uses as much as digits as its factorization.

1480690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 1480690048 is about 38479.7355500268. The cubic root of 1480690048 is about 1139.7809284592.

The spelling of 1480690048 in words is "one billion, four hundred eighty million, six hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 181 316 362 632 724 809 1264 1448 1618 2528 2896 3236 5056 5792 6472 10112 11584 12944 14299 23168 25888 28598 51776 57196 63911 103552 114392 127822 146429 228784 255644 292858 457568 511288 585716 915136 1022576 1171432 1830272 2045152 2342864 4090304 4685728 8180608 9371456 11567891 18742912 23135782 46271564 92543128 185086256 370172512 740345024 1480690048