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495063072 = 25327235081
BaseRepresentation
bin11101100000100…
…001000000100000
31021111112210212100
4131200201000200
52003214004242
6121042530400
715160652400
oct3540410040
91244483770
10495063072
112344a5239
12119966a00
137b746c3a
1449a6c800
152d6e054c
hex1d821020

495063072 has 108 divisors (see below), whose sum is σ = 1637733006. Its totient is φ = 141442560.

The previous prime is 495063053. The next prime is 495063097. The reversal of 495063072 is 270360594.

It can be written as a sum of positive squares in only one way, i.e., 338412816 + 156650256 = 18396^2 + 12516^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3429 + ... + 31652.

Almost surely, 2495063072 is an apocalyptic number.

495063072 is a gapful number since it is divisible by the number (42) 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 495063072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818866503).

495063072 is an abundant number, since it is smaller than the sum of its proper divisors (1142669934).

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

495063072 is a wasteful number, since it uses less digits than its factorization.

495063072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35111 (or 35093 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 495063072 is about 22250.0128539289. The cubic root of 495063072 is about 791.0795858002.

The spelling of 495063072 in words is "four hundred ninety-five million, sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 35081 70162 105243 140324 210486 245567 280648 315729 420972 491134 561296 631458 736701 841944 982268 1122592 1262916 1473402 1683888 1718969 1964536 2210103 2525832 2946804 3367776 3437938 3929072 4420206 5051664 5156907 5893608 6875876 7858144 8840412 10103328 10313814 11787216 13751752 15470721 17680824 20627628 23574432 27503504 30941442 35361648 41255256 55007008 61882884 70723296 82510512 123765768 165021024 247531536 495063072