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2525542500 = 223541325903
BaseRepresentation
bin1001011010001000…
…1011100001100100
320112000020212000010
42112202023201210
520133014330000
61054335050220
7116404520445
oct22642134144
96460225003
102525542500
11108666a508
125a5970970
13313303560
1419d5bd2cc
15ebac3d50
hex9688b864

2525542500 has 120 divisors (see below), whose sum is σ = 7930561408. Its totient is φ = 621648000.

The previous prime is 2525542469. The next prime is 2525542501. The reversal of 2525542500 is 52455252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2525542501) 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 39 ways as a sum of consecutive naturals, for example, 84549 + ... + 110451.

Almost surely, 22525542500 is an apocalyptic number.

2525542500 is a gapful number since it is divisible by the number (20) 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 2525542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965280704).

2525542500 is an abundant number, since it is smaller than the sum of its proper divisors (5405018908).

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

2525542500 is a wasteful number, since it uses less digits than its factorization.

2525542500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25943 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 2525542500 is about 50254.7758924463. The cubic root of 2525542500 is about 1361.8153561678.

Adding to 2525542500 its reverse (52455252), we get a palindrome (2577997752).

The spelling of 2525542500 in words is "two billion, five hundred twenty-five million, five hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 625 650 750 780 975 1250 1300 1500 1625 1875 1950 2500 3250 3750 3900 4875 6500 7500 8125 9750 16250 19500 24375 25903 32500 48750 51806 77709 97500 103612 129515 155418 259030 310836 336739 388545 518060 647575 673478 777090 1010217 1295150 1346956 1554180 1683695 1942725 2020434 2590300 3237875 3367390 3885450 4040868 5051085 6475750 6734780 7770900 8418475 9713625 10102170 12951500 16189375 16836950 19427250 20204340 25255425 32378750 33673900 38854500 42092375 48568125 50510850 64757500 84184750 97136250 101021700 126277125 168369500 194272500 210461875 252554250 420923750 505108500 631385625 841847500 1262771250 2525542500