Search a number
-
+
2545126800 = 2435210611999
BaseRepresentation
bin1001011110110011…
…1000110110010000
320120101002211121120
42113230320312100
520203023024200
61100314522240
7120033135516
oct22754706620
96511084546
102545126800
111096726487
125b0436380
1331739c6b8
141a203a4b6
15ed6919a0
hex97b38d90

2545126800 has 120 divisors (see below), whose sum is σ = 8164656000. Its totient is φ = 677721600.

The previous prime is 2545126799. The next prime is 2545126811. The reversal of 2545126800 is 86215452.

2545126800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 1272201 + ... + 1274199.

It is an arithmetic number, because the mean of its divisors is an integer number (68038800).

Almost surely, 22545126800 is an apocalyptic number.

2545126800 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 2545126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082328000).

2545126800 is an abundant number, since it is smaller than the sum of its proper divisors (5619529200).

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

2545126800 is a wasteful number, since it uses less digits than its factorization.

2545126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 2545126800 is about 50449.2497466513. The cubic root of 2545126800 is about 1365.3263586536.

The spelling of 2545126800 in words is "two billion, five hundred forty-five million, one hundred twenty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1061 1200 1999 2122 3183 3998 4244 5305 5997 6366 7996 8488 9995 10610 11994 12732 15915 15992 16976 19990 21220 23988 25464 26525 29985 31830 31984 39980 42440 47976 49975 50928 53050 59970 63660 79575 79960 84880 95952 99950 106100 119940 127320 149925 159150 159920 199900 212200 239880 254640 299850 318300 399800 424400 479760 599700 636600 799600 1199400 1273200 2120939 2398800 4241878 6362817 8483756 10604695 12725634 16967512 21209390 25451268 31814085 33935024 42418780 50902536 53023475 63628170 84837560 101805072 106046950 127256340 159070425 169675120 212093900 254512680 318140850 424187800 509025360 636281700 848375600 1272563400 2545126800