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2401490025 = 3852114
BaseRepresentation
bin1000111100100011…
…1101010001101001
320012100211100000000
42033020331101221
514404240140100
61034144133213
7113340220434
oct21710752151
96170740000
102401490025
111022640000
12570307209
132c36bac1c
1418ad2a81b
15e0c6c900
hex8f23d469

2401490025 has 135 divisors (see below), whose sum is σ = 4913168455. Its totient is φ = 1164358800.

The previous prime is 2401489999. The next prime is 2401490027. The reversal of 2401490025 is 5200941042.

The square root of 2401490025 is 49005.

It is a perfect power (a square), and thus also a powerful number.

2401490025 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 can be written as a sum of positive squares in only one way, i.e., 864536409 + 1536953616 = 29403^2 + 39204^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2401490025 - 27 = 2401489897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2401490027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 218317270 + ... + 218317280.

Almost surely, 22401490025 is an apocalyptic number.

2401490025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2401490025 is the 49005-th square number.

2401490025 is the 24503-rd centered octagonal number.

It is an amenable number.

2401490025 is an abundant number, since it is smaller than the sum of its proper divisors (2511678430).

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

2401490025 is an frugal number, since it uses more digits than its factorization.

2401490025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 2401490025 is about 1339.1429183526.

The spelling of 2401490025 in words is "two billion, four hundred one million, four hundred ninety thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 243 275 297 363 405 495 605 675 729 825 891 1089 1215 1331 1485 1815 2025 2187 2475 2673 3025 3267 3645 3993 4455 5445 6075 6561 6655 7425 8019 9075 9801 10935 11979 13365 14641 16335 18225 19965 22275 24057 27225 29403 32805 33275 35937 40095 43923 49005 54675 59895 66825 72171 73205 81675 88209 99825 107811 120285 131769 147015 164025 179685 200475 219615 245025 264627 299475 323433 360855 366025 395307 441045 539055 601425 658845 735075 793881 898425 970299 1098075 1185921 1323135 1617165 1804275 1976535 2205225 2695275 2910897 3294225 3557763 3969405 4851495 5929605 6615675 8085825 8732691 9882675 10673289 14554485 17788815 19847025 24257475 29648025 32019867 43663455 53366445 72772425 88944075 96059601 160099335 218317275 266832225 480298005 800496675 2401490025