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2525115000 = 23354712371
BaseRepresentation
bin1001011010000010…
…0011001001111000
320111222110010120210
42112200203021320
520132412140000
61054321551120
7116401060212
oct22640431170
96458403523
102525115000
1110863a8301
125a57a54a0
133131b3ab5
1419d50b5b2
15eba3c350
hex96823278

2525115000 has 160 divisors (see below), whose sum is σ = 8002938240. Its totient is φ = 663600000.

The previous prime is 2525114993. The next prime is 2525115001. The reversal of 2525115000 is 5115252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525115001) 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, 1063815 + ... + 1066185.

It is an arithmetic number, because the mean of its divisors is an integer number (50018364).

Almost surely, 22525115000 is an apocalyptic number.

2525115000 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 2525115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001469120).

2525115000 is an abundant number, since it is smaller than the sum of its proper divisors (5477823240).

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

2525115000 is a wasteful number, since it uses less digits than its factorization.

2525115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 2525115000 is about 50250.5223853444. The cubic root of 2525115000 is about 1361.7385134147.

The spelling of 2525115000 in words is "two billion, five hundred twenty-five million, one hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 625 710 750 852 1000 1065 1250 1420 1500 1704 1775 1875 2130 2371 2500 2840 3000 3550 3750 4260 4742 5000 5325 7100 7113 7500 8520 8875 9484 10650 11855 14200 14226 15000 17750 18968 21300 23710 26625 28452 35500 35565 42600 44375 47420 53250 56904 59275 71000 71130 88750 94840 106500 118550 133125 142260 168341 177500 177825 213000 237100 266250 284520 296375 336682 355000 355650 474200 505023 532500 592750 673364 711300 841705 889125 1010046 1065000 1185500 1346728 1422600 1481875 1683410 1778250 2020092 2371000 2525115 2963750 3366820 3556500 4040184 4208525 4445625 5050230 5927500 6733640 7113000 8417050 8891250 10100460 11855000 12625575 16834100 17782500 20200920 21042625 25251150 33668200 35565000 42085250 50502300 63127875 84170500 101004600 105213125 126255750 168341000 210426250 252511500 315639375 420852500 505023000 631278750 841705000 1262557500 2525115000