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2525263920 = 2432514923539
BaseRepresentation
bin1001011010000100…
…0111100000110000
320111222201200212100
42112201013200300
520132431421140
61054325100400
7116402250324
oct22641074060
96458650770
102525263920
11108649a183
125a5857700
1331323680a
1419d549984
15eba6b530
hex96847830

2525263920 has 120 divisors (see below), whose sum is σ = 8537958000. Its totient is φ = 668855808.

The previous prime is 2525263919. The next prime is 2525263933. The reversal of 2525263920 is 293625252.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95511 + ... + 119049.

It is an arithmetic number, because the mean of its divisors is an integer number (71149650).

Almost surely, 22525263920 is an apocalyptic number.

2525263920 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 2525263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268979000).

2525263920 is an abundant number, since it is smaller than the sum of its proper divisors (6012694080).

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

2525263920 is a wasteful number, since it uses less digits than its factorization.

2525263920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23707 (or 23698 counting only the distinct ones).

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

The square root of 2525263920 is about 50252.0041391386. The cubic root of 2525263920 is about 1361.7652826395.

The spelling of 2525263920 in words is "two billion, five hundred twenty-five million, two hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 149 180 240 298 360 447 596 720 745 894 1192 1341 1490 1788 2235 2384 2682 2980 3576 4470 5364 5960 6705 7152 8940 10728 11920 13410 17880 21456 23539 26820 35760 47078 53640 70617 94156 107280 117695 141234 188312 211851 235390 282468 353085 376624 423702 470780 564936 706170 847404 941560 1059255 1129872 1412340 1694808 1883120 2118510 2824680 3389616 3507311 4237020 5649360 7014622 8474040 10521933 14029244 16948080 17536555 21043866 28058488 31565799 35073110 42087732 52609665 56116976 63131598 70146220 84175464 105219330 126263196 140292440 157828995 168350928 210438660 252526392 280584880 315657990 420877320 505052784 631315980 841754640 1262631960 2525263920