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2502552052 = 2271113718803
BaseRepresentation
bin1001010100101001…
…1110100111110100
320110101222211001001
42111022132213310
520111123131202
61052154213044
7116005225060
oct22512364764
96411884031
102502552052
111074697440
1259a124184
1330b613c40
1419a516aa0
15e9a81d87
hex9529e9f4

2502552052 has 96 divisors (see below), whose sum is σ = 5963618304. Its totient is φ = 887241600.

The previous prime is 2502552049. The next prime is 2502552079.

2502552052 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2502552052.

It is a congruent number.

It is an unprimeable number.

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, 279883 + ... + 288685.

It is an arithmetic number, because the mean of its divisors is an integer number (62121024).

Almost surely, 22502552052 is an apocalyptic number.

2502552052 is a gapful number since it is divisible by the number (22) 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 2502552052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981809152).

2502552052 is an abundant number, since it is smaller than the sum of its proper divisors (3461066252).

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

2502552052 is a wasteful number, since it uses less digits than its factorization.

2502552052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8909 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 2502552052 is about 50025.5140103528. The cubic root of 2502552052 is about 1357.6704735677.

It can be divided in two parts, 25025 and 52052, that added together give a palindrome (77077).

The spelling of 2502552052 in words is "two billion, five hundred two million, five hundred fifty-two thousand, fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 71 77 91 142 143 154 182 284 286 308 364 497 572 781 923 994 1001 1562 1846 1988 2002 3124 3692 4004 5467 6461 8803 10153 10934 12922 17606 20306 21868 25844 35212 40612 61621 71071 96833 114439 123242 142142 193666 228878 246484 284284 387332 457756 625013 677831 801073 1250026 1258829 1355662 1602146 2500052 2517658 2711324 3204292 4375091 5035316 6875143 8125169 8750182 8811803 13750286 16250338 17500364 17623606 27500572 32500676 35247212 48126001 56876183 89376859 96252002 113752366 178753718 192504004 227504732 357507436 625638013 1251276026 2502552052