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28931652 = 223273101109
BaseRepresentation
bin110111001011…
…1011001000100
32000102212202200
41232113121010
524401303102
62512034500
7500625561
oct156273104
960385680
1028931652
1115370862
129832a30
135cbc929
143bb1868
15281751c
hex1b97644

28931652 has 72 divisors (see below), whose sum is σ = 75555480. Its totient is φ = 9331200.

The previous prime is 28931641. The next prime is 28931657. The reversal of 28931652 is 25613982.

It can be written as a sum of positive squares in 4 ways, for example, as 15492096 + 13439556 = 3936^2 + 3666^2 .

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

Its product of digits (25920) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (28931657) 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, 265374 + ... + 265482.

Almost surely, 228931652 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 28931652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37777740).

28931652 is an abundant number, since it is smaller than the sum of its proper divisors (46623828).

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

28931652 is a wasteful number, since it uses less digits than its factorization.

28931652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 28931652 is about 5378.8151111560. The cubic root of 28931652 is about 306.9901286672.

The spelling of 28931652 in words is "twenty-eight million, nine hundred thirty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 101 109 146 202 218 219 292 303 327 404 436 438 606 654 657 876 909 981 1212 1308 1314 1818 1962 2628 3636 3924 7373 7957 11009 14746 15914 22018 22119 23871 29492 31828 33027 44036 44238 47742 66054 66357 71613 88476 95484 99081 132108 132714 143226 198162 265428 286452 396324 803657 1607314 2410971 3214628 4821942 7232913 9643884 14465826 28931652