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1493883264 = 27329163823
BaseRepresentation
bin101100100001010…
…1101100110000000
310212010000010120210
41121002231212000
511024413231024
6404123034120
752006540536
oct13102554600
93763003523
101493883264
116a7292675
1235836b940
131aa6600c3
14102590156
158b23c129
hex590ad980

1493883264 has 128 divisors (see below), whose sum is σ = 4135161600. Its totient is φ = 477259776.

The previous prime is 1493883247. The next prime is 1493883299. The reversal of 1493883264 is 4623883941.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1814757 + ... + 1815579.

It is an arithmetic number, because the mean of its divisors is an integer number (32305950).

Almost surely, 21493883264 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 1493883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067580800).

1493883264 is an abundant number, since it is smaller than the sum of its proper divisors (2641278336).

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

1493883264 is a wasteful number, since it uses less digits than its factorization.

1493883264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1020 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 1493883264 is about 38650.7860722133. The cubic root of 1493883264 is about 1143.1561416727.

The spelling of 1493883264 in words is "one billion, four hundred ninety-three million, eight hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 163 174 192 232 326 348 384 464 489 652 696 823 928 978 1304 1392 1646 1856 1956 2469 2608 2784 3292 3712 3912 4727 4938 5216 5568 6584 7824 9454 9876 10432 11136 13168 14181 15648 18908 19752 20864 23867 26336 28362 31296 37816 39504 47734 52672 56724 62592 71601 75632 79008 95468 105344 113448 134149 143202 151264 158016 190936 226896 268298 286404 302528 316032 381872 402447 453792 536596 572808 605056 763744 804894 907584 1073192 1145616 1527488 1609788 1815168 2146384 2291232 3054976 3219576 3890321 4292768 4582464 6439152 7780642 8585536 9164928 11670963 12878304 15561284 17171072 23341926 25756608 31122568 46683852 51513216 62245136 93367704 124490272 186735408 248980544 373470816 497961088 746941632 1493883264