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481103264 = 251743131157
BaseRepresentation
bin11100101011010…
…000110110100000
31020112021120121102
4130223100312200
51441130301024
6115423413532
714631211265
oct3453206640
91215246542
10481103264
11227630004
121151542a8
1378899bb5
1447c7726c
152c3841ae
hex1cad0da0

481103264 has 96 divisors (see below), whose sum is σ = 1040630976. Its totient is φ = 218050560.

The previous prime is 481103257. The next prime is 481103303. The reversal of 481103264 is 462301184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3064274 + ... + 3064430.

It is an arithmetic number, because the mean of its divisors is an integer number (10839906).

Almost surely, 2481103264 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 481103264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520315488).

481103264 is an abundant number, since it is smaller than the sum of its proper divisors (559527712).

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

481103264 is a wasteful number, since it uses less digits than its factorization.

481103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 481103264 is about 21934.0662896783. The cubic root of 481103264 is about 783.5729487372.

The spelling of 481103264 in words is "four hundred eighty-one million, one hundred three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 131 136 157 172 262 272 314 344 524 544 628 688 731 1048 1256 1376 1462 2096 2227 2512 2669 2924 4192 4454 5024 5338 5633 5848 6751 8908 10676 11266 11696 13502 17816 20567 21352 22532 23392 27004 35632 41134 42704 45064 54008 71264 82268 85408 90128 95761 108016 114767 164536 180256 191522 216032 229534 329072 349639 383044 459068 658144 699278 766088 884381 918136 1398556 1532176 1768762 1836272 2797112 3064352 3537524 3672544 5594224 7075048 11188448 14150096 15034477 28300192 30068954 60137908 120275816 240551632 481103264