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496485088 = 251131173263
BaseRepresentation
bin11101100101111…
…100001011100000
31021121020001111121
4131211330023200
52004100010323
6121133222024
715206024251
oct3545741340
91247201447
10496485088
11235286660
1211a331914
137bb24278
1449d1cb28
152d8c1a5d
hex1d97c2e0

496485088 has 96 divisors (see below), whose sum is σ = 1111283712. Its totient is φ = 216307200.

The previous prime is 496485013. The next prime is 496485109. The reversal of 496485088 is 880584694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1887645 + ... + 1887907.

It is an arithmetic number, because the mean of its divisors is an integer number (11575872).

Almost surely, 2496485088 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 496485088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555641856).

496485088 is an abundant number, since it is smaller than the sum of its proper divisors (614798624).

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

496485088 is a wasteful number, since it uses less digits than its factorization.

496485088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The square root of 496485088 is about 22281.9453369763. The cubic root of 496485088 is about 791.8362923889.

It can be divided in two parts, 496 and 485088, that added together give a palindrome (485584).

The spelling of 496485088 in words is "four hundred ninety-six million, four hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 173 176 248 263 341 346 352 496 526 682 692 992 1052 1364 1384 1903 2104 2728 2768 2893 3806 4208 5363 5456 5536 5786 7612 8153 8416 10726 10912 11572 15224 16306 21452 23144 30448 32612 42904 45499 46288 58993 60896 65224 85808 89683 90998 92576 117986 130448 171616 179366 181996 235972 260896 358732 363992 471944 500489 717464 727984 943888 1000978 1410469 1434928 1455968 1887776 2001956 2820938 2869856 4003912 5641876 8007824 11283752 15515159 16015648 22567504 31030318 45135008 62060636 124121272 248242544 496485088