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1306048848 = 2431331107631
BaseRepresentation
bin100110111011000…
…1011100101010000
310101000120011012120
41031312023211100
510133322030343
6333333054240
744236142406
oct11566134520
93330504176
101306048848
11610259915
12305487380
1317a775290
14c5657476
15799d7683
hex4dd8b950

1306048848 has 160 divisors (see below), whose sum is σ = 3791757312. Its totient is φ = 384652800.

The previous prime is 1306048841. The next prime is 1306048873. The reversal of 1306048848 is 8488406031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306048841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2069493 + ... + 2070123.

Almost surely, 21306048848 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 1306048848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895878656).

1306048848 is an abundant number, since it is smaller than the sum of its proper divisors (2485708464).

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

1306048848 is a wasteful number, since it uses less digits than its factorization.

1306048848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1306048848 is about 36139.2978349054. The cubic root of 1306048848 is about 1093.0830002258.

The spelling of 1306048848 in words is "one billion, three hundred six million, forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 107 124 156 186 208 214 248 312 321 372 403 428 496 624 631 642 744 806 856 1209 1262 1284 1391 1488 1612 1712 1893 2418 2524 2568 2782 3224 3317 3786 4173 4836 5048 5136 5564 6448 6634 7572 8203 8346 9672 9951 10096 11128 13268 15144 16406 16692 19344 19561 19902 22256 24609 26536 30288 32812 33384 39122 39804 43121 49218 53072 58683 65624 66768 67517 78244 79608 86242 98436 117366 129363 131248 135034 156488 159216 172484 196872 202551 234732 254293 258726 270068 312976 344968 393744 405102 469464 508586 517452 540136 689936 762879 810204 877721 938928 1017172 1034904 1080272 1525758 1620408 1755442 2034344 2069808 2093027 2633163 3051516 3240816 3510884 4068688 4186054 5266326 6103032 6279081 7021768 8372108 10532652 12206064 12558162 14043536 16744216 21065304 25116324 27209351 33488432 42130608 50232648 54418702 81628053 100465296 108837404 163256106 217674808 326512212 435349616 653024424 1306048848