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2525930640 = 2432524114557
BaseRepresentation
bin1001011010001110…
…1010010010010000
320112000222120102200
42112203222102100
520133114240030
61054351243200
7116411025162
oct22643522220
96460876380
102525930640
111086905092
125a5b19500
1331340b11c
1419d680932
15ebb4dd60
hex968ea490

2525930640 has 120 divisors (see below), whose sum is σ = 8518701048. Its totient is φ = 670740480.

The previous prime is 2525930629. The next prime is 2525930647. The reversal of 2525930640 is 460395252.

2525930640 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 9 + 3 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 176783616 + 2349147024 = 13296^2 + 48468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2525930595 and 2525930604.

It is not an unprimeable number, because it can be changed into a prime (2525930647) 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, 166242 + ... + 180798.

Almost surely, 22525930640 is an apocalyptic number.

2525930640 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 2525930640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259350524).

2525930640 is an abundant number, since it is smaller than the sum of its proper divisors (5992770408).

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

2525930640 is a wasteful number, since it uses less digits than its factorization.

2525930640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14817 (or 14808 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2525930640 is about 50258.6374666087. The cubic root of 2525930640 is about 1361.8851164849.

The spelling of 2525930640 in words is "two billion, five hundred twenty-five million, nine hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 241 360 482 720 723 964 1205 1446 1928 2169 2410 2892 3615 3856 4338 4820 5784 7230 8676 9640 10845 11568 14460 14557 17352 19280 21690 28920 29114 34704 43380 43671 57840 58228 72785 86760 87342 116456 131013 145570 173520 174684 218355 232912 262026 291140 349368 436710 524052 582280 655065 698736 873420 1048104 1164560 1310130 1746840 2096208 2620260 3493680 3508237 5240520 7016474 10481040 10524711 14032948 17541185 21049422 28065896 31574133 35082370 42098844 52623555 56131792 63148266 70164740 84197688 105247110 126296532 140329480 157870665 168395376 210494220 252593064 280658960 315741330 420988440 505186128 631482660 841976880 1262965320 2525930640