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1483442688 = 29371310613
BaseRepresentation
bin101100001101011…
…1000101000000000
310211101100200210210
41120122320220000
511014230131223
6403111154120
751522024540
oct13032705000
93741320723
101483442688
116a14014a2
12354975940
131a8445b50
14101033320
158a378893
hex586b8a00

1483442688 has 160 divisors (see below), whose sum is σ = 4864438656. Its totient is φ = 391200768.

The previous prime is 1483442687. The next prime is 1483442693. The reversal of 1483442688 is 8862443841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1483442687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 134470 + ... + 145082.

Almost surely, 21483442688 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 1483442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432219328).

1483442688 is an abundant number, since it is smaller than the sum of its proper divisors (3380995968).

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

1483442688 is a wasteful number, since it uses less digits than its factorization.

1483442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654 (or 10638 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 1483442688 is about 38515.4863399127. The cubic root of 1483442688 is about 1140.4867850320.

The spelling of 1483442688 in words is "one billion, four hundred eighty-three million, four hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9984 10613 10752 11648 17472 19968 21226 23296 31839 34944 42452 46592 63678 69888 74291 84904 127356 137969 139776 148582 169808 222873 254712 275938 297164 339616 413907 445746 509424 551876 594328 679232 827814 891492 965783 1018848 1103752 1188656 1358464 1655628 1782984 1931566 2037696 2207504 2377312 2716928 2897349 3311256 3565968 3863132 4075392 4415008 4754624 5433856 5794698 6622512 7131936 7726264 8150784 8830016 9509248 11589396 13245024 14263872 15452528 16301568 17660032 19018496 23178792 26490048 28527744 30905056 35320064 38036992 46357584 52980096 57055488 61810112 70640128 92715168 105960192 114110976 123620224 185430336 211920384 247240448 370860672 494480896 741721344 1483442688