Search a number
-
+
1648048896 = 28331318341
BaseRepresentation
bin110001000111011…
…0011101100000000
311020212002120002000
41202032303230000
511333400031041
6431311224000
755561120164
oct14216635400
94225076060
101648048896
1177630a58a
1239bb18000
1320358a080
14118c40ca4
1599a40bb6
hex623b3b00

1648048896 has 144 divisors (see below), whose sum is σ = 5248746720. Its totient is φ = 507064320.

The previous prime is 1648048813. The next prime is 1648048907. The reversal of 1648048896 is 6988408461.

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 (54).

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 15 ways as a sum of consecutive naturals, for example, 80686 + ... + 99026.

It is an arithmetic number, because the mean of its divisors is an integer number (36449630).

Almost surely, 21648048896 is an apocalyptic number.

1648048896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624373360).

1648048896 is an abundant number, since it is smaller than the sum of its proper divisors (3600697824).

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

1648048896 is a wasteful number, since it uses less digits than its factorization.

1648048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18379 (or 18359 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 1648048896 is about 40596.1684891567. The cubic root of 1648048896 is about 1181.1997985216.

The spelling of 1648048896 in words is "one billion, six hundred forty-eight million, forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 18341 22464 29952 36682 44928 55023 73364 89856 110046 146728 165069 220092 238433 293456 330138 440184 476866 495207 586912 660276 715299 880368 953732 990414 1173824 1320552 1430598 1760736 1907464 1980828 2145897 2347648 2641104 2861196 3521472 3814928 3961656 4291794 4695296 5282208 5722392 6437691 7042944 7629856 7923312 8583588 10564416 11444784 12875382 14085888 15259712 15846624 17167176 21128832 22889568 25750764 30519424 31693248 34334352 42257664 45779136 51501528 61038848 63386496 68668704 91558272 103003056 126772992 137337408 183116544 206006112 274674816 412012224 549349632 824024448 1648048896