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243929088 = 2123213509
BaseRepresentation
bin11101000101000…
…01000000000000
3121222222212210200
432202201000000
5444421212323
640112125200
76021235344
oct1642410000
9558885720
10243929088
11115767597
1269836800
133b6c8350
1424579624
1516635443
hexe8a1000

243929088 has 156 divisors (see below), whose sum is σ = 760288620. Its totient is φ = 74907648.

The previous prime is 243929083. The next prime is 243929089. The reversal of 243929088 is 880929342.

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 128323584 = 10752^2 + 11328^2 .

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

It is not an unprimeable number, because it can be changed into a prime (243929083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478978 + ... + 479486.

It is an arithmetic number, because the mean of its divisors is an integer number (4873645).

Almost surely, 2243929088 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 243929088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380144310).

243929088 is an abundant number, since it is smaller than the sum of its proper divisors (516359532).

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

243929088 is a wasteful number, since it uses less digits than its factorization.

243929088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 243929088 is about 15618.2293490651. The cubic root of 243929088 is about 624.8194362665.

The spelling of 243929088 in words is "two hundred forty-three million, nine hundred twenty-nine 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 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 509 512 576 624 768 832 936 1018 1024 1152 1248 1527 1536 1664 1872 2036 2048 2304 2496 3054 3072 3328 3744 4072 4096 4581 4608 4992 6108 6144 6617 6656 7488 8144 9162 9216 9984 12216 12288 13234 13312 14976 16288 18324 18432 19851 19968 24432 26468 26624 29952 32576 36648 36864 39702 39936 48864 52936 53248 59553 59904 65152 73296 79404 79872 97728 105872 119106 119808 130304 146592 158808 159744 195456 211744 238212 239616 260608 293184 317616 390912 423488 476424 479232 521216 586368 635232 781824 846976 952848 1042432 1172736 1270464 1563648 1693952 1905696 2084864 2345472 2540928 3127296 3387904 3811392 4690944 5081856 6254592 6775808 7622784 9381888 10163712 13551616 15245568 18763776 20327424 27103232 30491136 40654848 60982272 81309696 121964544 243929088