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216426504 = 23372379709
BaseRepresentation
bin11001110011001…
…10100000001000
3120002020121100110
430321212200020
5420401122004
633250434320
75235411030
oct1471464010
9502217313
10216426504
11101192488
12605929a0
1335ab9028
1420a5a8c0
1514001589
hexce66808

216426504 has 128 divisors (see below), whose sum is σ = 654336000. Its totient is φ = 58316544.

The previous prime is 216426503. The next prime is 216426557. The reversal of 216426504 is 405624612.

It is not an unprimeable number, because it can be changed into a prime (216426503) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 304902 + ... + 305610.

It is an arithmetic number, because the mean of its divisors is an integer number (5112000).

Almost surely, 2216426504 is an apocalyptic number.

216426504 is a gapful number since it is divisible by the number (24) 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 216426504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327168000).

216426504 is an abundant number, since it is smaller than the sum of its proper divisors (437909496).

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

216426504 is a wasteful number, since it uses less digits than its factorization.

216426504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 216426504 is about 14711.4412618207. The cubic root of 216426504 is about 600.3946514712.

The spelling of 216426504 in words is "two hundred sixteen million, four hundred twenty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 79 84 92 138 158 161 168 184 237 276 316 322 474 483 552 553 632 644 709 948 966 1106 1288 1418 1659 1817 1896 1932 2127 2212 2836 3318 3634 3864 4254 4424 4963 5451 5672 6636 7268 8508 9926 10902 12719 13272 14536 14889 16307 17016 19852 21804 25438 29778 32614 38157 39704 43608 48921 50876 56011 59556 65228 76314 97842 101752 112022 114149 119112 130456 152628 168033 195684 224044 228298 305256 336066 342447 391368 392077 448088 456596 672132 684894 784154 913192 1176231 1288253 1344264 1369788 1568308 2352462 2576506 2739576 3136616 3864759 4704924 5153012 7729518 9017771 9409848 10306024 15459036 18035542 27053313 30918072 36071084 54106626 72142168 108213252 216426504