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804913152 = 21732389
BaseRepresentation
bin101111111110100…
…000000000000000
32002002120211021020
4233332200000000
53122024210102
6211512025440
725642435401
oct5776400000
92062524236
10804913152
1138339718a
121a5692280
13ca9b3294
1478c879a8
154a9e7bbc
hex2ffa0000

804913152 has 144 divisors (see below), whose sum is σ = 2264915520. Its totient is φ = 253755392.

The previous prime is 804913141. The next prime is 804913181. The reversal of 804913152 is 251319408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9043924 + ... + 9044012.

It is an arithmetic number, because the mean of its divisors is an integer number (15728580).

Almost surely, 2804913152 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 804913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132457760).

804913152 is an abundant number, since it is smaller than the sum of its proper divisors (1460002368).

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

804913152 is an frugal number, since it uses more digits than its factorization.

804913152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 804913152 is about 28370.9913820437. The cubic root of 804913152 is about 930.2142921610.

The spelling of 804913152 in words is "eight hundred four million, nine hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 89 92 96 128 138 178 184 192 256 267 276 356 368 384 512 534 552 712 736 768 1024 1068 1104 1424 1472 1536 2047 2048 2136 2208 2848 2944 3072 4094 4096 4272 4416 5696 5888 6141 6144 8188 8192 8544 8832 11392 11776 12282 12288 16376 16384 17088 17664 22784 23552 24564 24576 32752 32768 34176 35328 45568 47104 49128 49152 65504 65536 68352 70656 91136 94208 98256 98304 131008 131072 136704 141312 182272 188416 196512 196608 262016 273408 282624 364544 376832 393024 393216 524032 546816 565248 729088 753664 786048 1048064 1093632 1130496 1458176 1507328 1572096 2096128 2187264 2260992 2916352 3014656 3144192 4192256 4374528 4521984 5832704 6288384 8384512 8749056 9043968 11665408 12576768 16769024 17498112 25153536 33538048 34996224 50307072 67076096 100614144 134152192 201228288 268304384 402456576 804913152