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2500328628 = 2233722314831
BaseRepresentation
bin1001010100000111…
…1111110010110100
320110020210212002000
42111001333302310
520110041004003
61052034415300
7115650304560
oct22501776264
96406725060
102500328628
1110734089a6
12599431530
1330b015bc5
1419a0d86a0
15e97931a3
hex9507fcb4

2500328628 has 96 divisors (see below), whose sum is σ = 7442104320. Its totient is φ = 711128160.

The previous prime is 2500328627. The next prime is 2500328711. The reversal of 2500328628 is 8268230052.

2500328628 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 3 + 28 + 628 = 666.

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 junction number, because it is equal to n+sod(n) for n = 2500328592 and 2500328601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500328627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161173 + ... + 176003.

It is an arithmetic number, because the mean of its divisors is an integer number (77521920).

Almost surely, 22500328628 is an apocalyptic number.

2500328628 is a gapful number since it is divisible by the number (28) 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 2500328628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721052160).

2500328628 is an abundant number, since it is smaller than the sum of its proper divisors (4941775692).

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

2500328628 is a wasteful number, since it uses less digits than its factorization.

2500328628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15074 (or 15066 counting only the distinct ones).

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

The square root of 2500328628 is about 50003.2861720107. The cubic root of 2500328628 is about 1357.2682746007.

The spelling of 2500328628 in words is "two billion, five hundred million, three hundred twenty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 223 252 378 446 669 756 892 1338 1561 2007 2676 3122 4014 4683 6021 6244 8028 9366 12042 14049 14831 18732 24084 28098 29662 42147 44493 56196 59324 84294 88986 103817 133479 168588 177972 207634 266958 311451 400437 415268 533916 622902 800874 934353 1245804 1601748 1868706 2803059 3307313 3737412 5606118 6614626 9921939 11212236 13229252 19843878 23151191 29765817 39687756 46302382 59531634 69453573 89297451 92604764 119063268 138907146 178594902 208360719 277814292 357189804 416721438 625082157 833442876 1250164314 2500328628