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1464634444 = 22713329821
BaseRepresentation
bin101011101001100…
…1000110001001100
310210001222010202011
41113103020301030
510444421300234
6401200111004
751203121160
oct12723106114
93701863664
101464634444
11691825599
1234a605464
131a458c000
14dc738ca0
15888b0b64
hex574c8c4c

1464634444 has 96 divisors (see below), whose sum is σ = 3286684800. Its totient is φ = 558754560.

The previous prime is 1464634429. The next prime is 1464634469. The reversal of 1464634444 is 4444364641.

It is a junction number, because it is equal to n+sod(n) for n = 1464634397 and 1464634406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1783554 + ... + 1784374.

It is an arithmetic number, because the mean of its divisors is an integer number (34236300).

Almost surely, 21464634444 is an apocalyptic number.

1464634444 is a gapful number since it is divisible by the number (14) 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 1464634444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643342400).

1464634444 is an abundant number, since it is smaller than the sum of its proper divisors (1822050356).

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

1464634444 is a wasteful number, since it uses less digits than its factorization.

1464634444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 872 counting only the distinct ones).

The product of its digits is 442368, while the sum is 40.

The square root of 1464634444 is about 38270.5427711706. The cubic root of 1464634444 is about 1135.6462759624.

The spelling of 1464634444 in words is "one billion, four hundred sixty-four million, six hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 169 182 203 338 364 377 406 676 754 812 821 1183 1508 1642 2197 2366 2639 3284 4394 4732 4901 5278 5747 8788 9802 10556 10673 11494 15379 19604 21346 22988 23809 30758 34307 42692 47618 61516 63713 68614 74711 95236 127426 137228 138749 149422 166663 254852 277498 298844 309517 333326 445991 554996 619034 666652 891982 971243 1238068 1783964 1803737 1942486 2166619 3607474 3884972 4023721 4333238 7214948 8047442 8666476 12626159 16094884 25252318 28166047 50504636 52308373 56332094 104616746 112664188 209233492 366158611 732317222 1464634444