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289898496 = 21532983
BaseRepresentation
bin10001010001111…
…000000000000000
3202012111100222100
4101101320000000
51043203222441
644433310400
710120045056
oct2121700000
9665440870
10289898496
11139705038
1281105400
13480a1c94
142a7041d6
151a6b5cb6
hex11478000

289898496 has 96 divisors (see below), whose sum is σ = 838323720. Its totient is φ = 96534528.

The previous prime is 289898461. The next prime is 289898503. The reversal of 289898496 is 694898982.

289898496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2898984962 = 168082275966124032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 294421 + ... + 295403.

Almost surely, 2289898496 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 289898496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419161860).

289898496 is an abundant number, since it is smaller than the sum of its proper divisors (548425224).

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

289898496 is an frugal number, since it uses more digits than its factorization.

289898496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 988 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The square root of 289898496 is about 17026.4058450396. The cubic root of 289898496 is about 661.8333598448.

The spelling of 289898496 in words is "two hundred eighty-nine million, eight hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 983 1024 1152 1536 1966 2048 2304 2949 3072 3932 4096 4608 5898 6144 7864 8192 8847 9216 11796 12288 15728 16384 17694 18432 23592 24576 31456 32768 35388 36864 47184 49152 62912 70776 73728 94368 98304 125824 141552 147456 188736 251648 283104 294912 377472 503296 566208 754944 1006592 1132416 1509888 2013184 2264832 3019776 4026368 4529664 6039552 8052736 9059328 12079104 16105472 18118656 24158208 32210944 36237312 48316416 72474624 96632832 144949248 289898496