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69228528 = 2432373859
BaseRepresentation
bin1000010000001…
…01011111110000
311211021011200120
410020011133300
5120210303103
610511450240
71500301305
oct410053760
9154234616
1069228528
1136094466
121b226980
131145b635
1492a10ac
156127253
hex42057f0

69228528 has 80 divisors (see below), whose sum is σ = 189392640. Its totient is φ = 21745152.

The previous prime is 69228527. The next prime is 69228553. The reversal of 69228528 is 82582296.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (138240) is a multiple of the sum of its prime divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 69228528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69228527) 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, 80163 + ... + 81021.

It is an arithmetic number, because the mean of its divisors is an integer number (2367408).

Almost surely, 269228528 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 69228528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94696320).

69228528 is an abundant number, since it is smaller than the sum of its proper divisors (120164112).

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

69228528 is a wasteful number, since it uses less digits than its factorization.

69228528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 69228528 is about 8320.3682610808. The cubic root of 69228528 is about 410.6089068613.

The spelling of 69228528 in words is "sixty-nine million, two hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 73 92 138 146 184 219 276 292 368 438 552 584 859 876 1104 1168 1679 1718 1752 2577 3358 3436 3504 5037 5154 6716 6872 10074 10308 13432 13744 19757 20148 20616 26864 39514 40296 41232 59271 62707 79028 80592 118542 125414 158056 188121 237084 250828 316112 376242 474168 501656 752484 948336 1003312 1442261 1504968 2884522 3009936 4326783 5769044 8653566 11538088 17307132 23076176 34614264 69228528