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202426880 = 295107739
BaseRepresentation
bin11000001000011…
…00101000000000
3112002220100110212
430010030220000
5403310130010
632030413252
75005412555
oct1404145000
9462810425
10202426880
11a42a0347
1257961228
1332c26b26
141cc54a2c
1512b88505
hexc10ca00

202426880 has 80 divisors (see below), whose sum is σ = 490548960. Its totient is φ = 80105472.

The previous prime is 202426823. The next prime is 202426901. The reversal of 202426880 is 88624202.

It is a happy number.

202426880 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 (80).

It is a super-5 number, since 5×2024268805 (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 273551 + ... + 274289.

It is an arithmetic number, because the mean of its divisors is an integer number (6131862).

Almost surely, 2202426880 is an apocalyptic number.

202426880 is a gapful number since it is divisible by the number (20) 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 202426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245274480).

202426880 is an abundant number, since it is smaller than the sum of its proper divisors (288122080).

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

202426880 is an equidigital number, since it uses as much as digits as its factorization.

202426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 202426880 is about 14227.6800638755. The cubic root of 202426880 is about 587.1594573894.

The spelling of 202426880 in words is "two hundred two million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 256 320 428 512 535 640 739 856 1070 1280 1478 1712 2140 2560 2956 3424 3695 4280 5912 6848 7390 8560 11824 13696 14780 17120 23648 27392 29560 34240 47296 54784 59120 68480 79073 94592 118240 136960 158146 189184 236480 273920 316292 378368 395365 472960 632584 790730 945920 1265168 1581460 1891840 2530336 3162920 5060672 6325840 10121344 12651680 20242688 25303360 40485376 50606720 101213440 202426880