Search a number
-
+
2555349632 = 2711353283
BaseRepresentation
bin1001100001001111…
…1000101010000000
320121002100012200222
42120103320222000
520213132142012
61101322002212
7120216053633
oct23023705200
96532305628
102555349632
1110a1479000
125b3946368
1331953b804
141a353bc1a
15ee510972
hex984f8a80

2555349632 has 128 divisors (see below), whose sum is σ = 5725235520. Its totient is φ = 1135580160.

The previous prime is 2555349617. The next prime is 2555349659. The reversal of 2555349632 is 2369435552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9029363 + ... + 9029645.

Almost surely, 22555349632 is an apocalyptic number.

2555349632 is a gapful number since it is divisible by the number (22) 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 2555349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862617760).

2555349632 is an abundant number, since it is smaller than the sum of its proper divisors (3169885888).

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

2555349632 is an equidigital number, since it uses as much as digits as its factorization.

2555349632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 349 counting only the distinct ones).

The product of its digits is 972000, while the sum is 44.

The square root of 2555349632 is about 50550.4661897395. The cubic root of 2555349632 is about 1367.1519201156.

The spelling of 2555349632 in words is "two billion, five hundred fifty-five million, three hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 121 128 176 212 242 283 352 424 484 566 583 704 848 968 1132 1166 1331 1408 1696 1936 2264 2332 2662 3113 3392 3872 4528 4664 5324 6226 6413 6784 7744 9056 9328 10648 12452 12826 14999 15488 18112 18656 21296 24904 25652 29998 34243 36224 37312 42592 49808 51304 59996 68486 70543 74624 85184 99616 102608 119992 136972 141086 164989 170368 199232 205216 239984 273944 282172 329978 376673 398464 410432 479968 547888 564344 659956 753346 820864 959936 1095776 1128688 1319912 1506692 1814879 1919872 2191552 2257376 2639824 3013384 3629758 4383104 4514752 5279648 6026768 7259516 9029504 10559296 12053536 14519032 19963669 21118592 24107072 29038064 39927338 48214144 58076128 79854676 116152256 159709352 232304512 319418704 638837408 1277674816 2555349632