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30188256 = 2537167269
BaseRepresentation
bin111001100101…
…0001011100000
32002210201111120
41303022023200
530212011011
62555012240
7514411260
oct163121340
962721446
1030188256
111604997a
12a13a080
13633c897
14401b7a0
1529b4a06
hex1cca2e0

30188256 has 96 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 8541696.

The previous prime is 30188251. The next prime is 30188261. The reversal of 30188256 is 65288103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30188251) and next prime (30188261).

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

It is a super-2 number, since 2×301882562 = 1822661600643072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30188251) 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 15 ways as a sum of consecutive naturals, for example, 112090 + ... + 112358.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 230188256 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 30188256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

30188256 is an abundant number, since it is smaller than the sum of its proper divisors (61257504).

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

30188256 is a wasteful number, since it uses less digits than its factorization.

30188256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 30188256 is about 5494.3840419104. The cubic root of 30188256 is about 311.3718459735.

The spelling of 30188256 in words is "thirty million, one hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 167 168 224 269 334 336 501 538 668 672 807 1002 1076 1169 1336 1614 1883 2004 2152 2338 2672 3228 3507 3766 4008 4304 4676 5344 5649 6456 7014 7532 8016 8608 9352 11298 12912 14028 15064 16032 18704 22596 25824 28056 30128 37408 44923 45192 56112 60256 89846 90384 112224 134769 179692 180768 269538 314461 359384 539076 628922 718768 943383 1078152 1257844 1437536 1886766 2156304 2515688 3773532 4312608 5031376 7547064 10062752 15094128 30188256