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1486930464 = 253267263293
BaseRepresentation
bin101100010100000…
…1100001000100000
310211121220220010200
41120220030020200
511021123233324
6403314025200
751563462145
oct13050141040
93747826120
101486930464
116a3373958
12355b78200
131a9097516
141016a03cc
158a816ec9
hex58a0c220

1486930464 has 144 divisors (see below), whose sum is σ = 4322590272. Its totient is φ = 484729344.

The previous prime is 1486930463. The next prime is 1486930541. The reversal of 1486930464 is 4640396841.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1486930463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5074702 + ... + 5074994.

It is an arithmetic number, because the mean of its divisors is an integer number (30017988).

Almost surely, 21486930464 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 1486930464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161295136).

1486930464 is an abundant number, since it is smaller than the sum of its proper divisors (2835659808).

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

1486930464 is a wasteful number, since it uses less digits than its factorization.

1486930464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1486930464 is about 38560.7373373487. The cubic root of 1486930464 is about 1141.3798987586.

The spelling of 1486930464 in words is "one billion, four hundred eighty-six million, nine hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 263 268 288 293 402 526 536 586 603 789 804 879 1052 1072 1172 1206 1578 1608 1758 2104 2144 2344 2367 2412 2637 3156 3216 3516 4208 4688 4734 4824 5274 6312 6432 7032 8416 9376 9468 9648 10548 12624 14064 17621 18936 19296 19631 21096 25248 28128 35242 37872 39262 42192 52863 58893 70484 75744 77059 78524 84384 105726 117786 140968 154118 157048 158589 176679 211452 231177 235572 281936 308236 314096 317178 353358 422904 462354 471144 563872 616472 628192 634356 693531 706716 845808 924708 942288 1232944 1268712 1387062 1413432 1691616 1849416 1884576 2465888 2537424 2774124 2826864 3698832 5074848 5162953 5548248 5653728 7397664 10325906 11096496 15488859 20651812 22192992 30977718 41303624 46466577 61955436 82607248 92933154 123910872 165214496 185866308 247821744 371732616 495643488 743465232 1486930464