Search a number
-
+
2655452304 = 2432231674801
BaseRepresentation
bin1001111001000110…
…1111110010010000
320212001200221202100
42132101233302100
520414243433204
61115255320400
7122542654311
oct23621576220
96761627670
102655452304
111142a2a68a
12621380100
133341b9c6b
141b2958608
151081d5a39
hex9e46fc90

2655452304 has 120 divisors (see below), whose sum is σ = 7802750592. Its totient is φ = 841420800.

The previous prime is 2655452279. The next prime is 2655452311. The reversal of 2655452304 is 4032545562.

2655452304 is a `hidden beast` number, since 26 + 554 + 52 + 30 + 4 = 666.

2655452304 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 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, 550704 + ... + 555504.

Almost surely, 22655452304 is an apocalyptic number.

2655452304 is a gapful number since it is divisible by the number (24) 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 2655452304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901375296).

2655452304 is an abundant number, since it is smaller than the sum of its proper divisors (5147298288).

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

2655452304 is a wasteful number, since it uses less digits than its factorization.

2655452304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2655452304 is about 51531.0809512085. The cubic root of 2655452304 is about 1384.7759161680.

Adding to 2655452304 its reverse (4032545562), we get a palindrome (6687997866).

The spelling of 2655452304 in words is "two billion, six hundred fifty-five million, four hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 167 184 207 276 334 368 414 501 552 668 828 1002 1104 1336 1503 1656 2004 2672 3006 3312 3841 4008 4801 6012 7682 8016 9602 11523 12024 14403 15364 19204 23046 24048 28806 30728 34569 38408 43209 46092 57612 61456 69138 76816 86418 92184 110423 115224 138276 172836 184368 220846 230448 276552 331269 345672 441692 553104 662538 691344 801767 883384 993807 1325076 1603534 1766768 1987614 2405301 2650152 3207068 3975228 4810602 5300304 6414136 7215903 7950456 9621204 12828272 14431806 15900912 18440641 19242408 28863612 36881282 38484816 55321923 57727224 73762564 110643846 115454448 147525128 165965769 221287692 295050256 331931538 442575384 663863076 885150768 1327726152 2655452304