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232828056 = 233217223853
BaseRepresentation
bin11011110000010…
…10110010011000
3121020002220001100
431320022302120
5434100444211
635034151400
75525001666
oct1570126230
9536086040
10232828056
1110a47518a
1265b82560
133930c5a6
1422cc9c36
1515691156
hexde0ac98

232828056 has 96 divisors (see below), whose sum is σ = 671448960. Its totient is φ = 72631296.

The previous prime is 232828051. The next prime is 232828061. The reversal of 232828056 is 650828232.

232828056 is a `hidden beast` number, since 2 + 328 + 280 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (232828051) and next prime (232828061).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 232828056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232828051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272526 + ... + 273378.

It is an arithmetic number, because the mean of its divisors is an integer number (6994260).

Almost surely, 2232828056 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 232828056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335724480).

232828056 is an abundant number, since it is smaller than the sum of its proper divisors (438620904).

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

232828056 is a wasteful number, since it uses less digits than its factorization.

232828056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 232828056 is about 15258.7042700224. The cubic root of 232828056 is about 615.1935460629.

The spelling of 232828056 in words is "two hundred thirty-two million, eight hundred twenty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 223 306 408 446 612 669 853 892 1224 1338 1706 1784 2007 2559 2676 3412 3791 4014 5118 5352 6824 7582 7677 8028 10236 11373 14501 15164 15354 16056 20472 22746 29002 30328 30708 34119 43503 45492 58004 61416 68238 87006 90984 116008 130509 136476 174012 190219 261018 272952 348024 380438 522036 570657 760876 1044072 1141314 1521752 1711971 2282628 3233723 3423942 4565256 6467446 6847884 9701169 12934892 13695768 19402338 25869784 29103507 38804676 58207014 77609352 116414028 232828056