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483545088 = 21232131009
BaseRepresentation
bin11100110100100…
…101000000000000
31020200212122011100
4130310211000000
51442241420323
6115552014400
714661031305
oct3464450000
91220778140
10483545088
11228a48644
12115b31400
1379243470
14483110ac
152c6b7943
hex1cd25000

483545088 has 156 divisors (see below), whose sum is σ = 1505669620. Its totient is φ = 148635648.

The previous prime is 483545047. The next prime is 483545149. The reversal of 483545088 is 880545384.

It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 376049664 = 10368^2 + 19392^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478728 + ... + 479736.

Almost surely, 2483545088 is an apocalyptic number.

483545088 is a gapful number since it is divisible by the number (48) 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 483545088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752834810).

483545088 is an abundant number, since it is smaller than the sum of its proper divisors (1022124532).

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

483545088 is a wasteful number, since it uses less digits than its factorization.

483545088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 483545088 is about 21989.6586603794. The cubic root of 483545088 is about 784.8963786034.

The spelling of 483545088 in words is "four hundred eighty-three million, five hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1009 1024 1152 1248 1536 1664 1872 2018 2048 2304 2496 3027 3072 3328 3744 4036 4096 4608 4992 6054 6144 6656 7488 8072 9081 9216 9984 12108 12288 13117 13312 14976 16144 18162 18432 19968 24216 26234 26624 29952 32288 36324 36864 39351 39936 48432 52468 53248 59904 64576 72648 78702 79872 96864 104936 118053 119808 129152 145296 157404 159744 193728 209872 236106 239616 258304 290592 314808 387456 419744 472212 479232 516608 581184 629616 774912 839488 944424 1033216 1162368 1259232 1549824 1678976 1888848 2066432 2324736 2518464 3099648 3357952 3777696 4132864 4649472 5036928 6199296 6715904 7555392 9298944 10073856 12398592 13431808 15110784 18597888 20147712 26863616 30221568 37195776 40295424 53727232 60443136 80590848 120886272 161181696 241772544 483545088