Search a number
-
+
1485848832 = 28313433461
BaseRepresentation
bin101100010010000…
…0100000100000000
310211112212221102020
41120210010010000
511020334130312
6403234521440
751551335536
oct13044040400
93745787366
101485848832
116a27a5246
12355736280
131a8aa90c0
1410149c156
158a6a178c
hex58904100

1485848832 has 144 divisors (see below), whose sum is σ = 4359018048. Its totient is φ = 446423040.

The previous prime is 1485848809. The next prime is 1485848863. The reversal of 1485848832 is 2388485841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427582 + ... + 431042.

Almost surely, 21485848832 is an apocalyptic number.

1485848832 is a gapful number since it is divisible by the number (12) 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 1485848832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179509024).

1485848832 is an abundant number, since it is smaller than the sum of its proper divisors (2873169216).

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

1485848832 is a wasteful number, since it uses less digits than its factorization.

1485848832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3522 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The square root of 1485848832 is about 38546.7097428561. The cubic root of 1485848832 is about 1141.1030751227.

The spelling of 1485848832 in words is "one billion, four hundred eighty-five million, eight hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 256 258 312 344 384 416 516 559 624 688 768 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3328 3354 3461 4128 4472 4992 5504 6708 6922 8256 8944 9984 10383 11008 13416 13844 16512 17888 20766 26832 27688 33024 35776 41532 44993 53664 55376 71552 83064 89986 107328 110752 134979 143104 148823 166128 179972 214656 221504 269958 297646 332256 359944 429312 443008 446469 539916 595292 664512 719888 886016 892938 1079832 1190584 1329024 1439776 1785876 1934699 2159664 2381168 2658048 2879552 3571752 3869398 4319328 4762336 5759104 5804097 7143504 7738796 8638656 9524672 11518208 11608194 14287008 15477592 17277312 19049344 23216388 28574016 30955184 34554624 38098688 46432776 57148032 61910368 92865552 114296064 123820736 185731104 247641472 371462208 495282944 742924416 1485848832