Search a number
-
+
2550540468 = 22371913911497
BaseRepresentation
bin1001100000000110…
…0010100010110100
320120202021212202210
42120001202202310
520210414243333
61101030533420
7120130144020
oct23001424264
96522255683
102550540468
111099793893
125b2207270
13318546858
141a2a49380
15eddb0a63
hex980628b4

2550540468 has 96 divisors (see below), whose sum is σ = 7211545600. Its totient is φ = 685345536.

The previous prime is 2550540467. The next prime is 2550540497. The reversal of 2550540468 is 8640450552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2550540463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216096 + ... + 227592.

Almost surely, 22550540468 is an apocalyptic number.

2550540468 is a gapful number since it is divisible by the number (28) 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 2550540468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605772800).

2550540468 is an abundant number, since it is smaller than the sum of its proper divisors (4661005132).

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

2550540468 is a wasteful number, since it uses less digits than its factorization.

2550540468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669 (or 11667 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 2550540468 is about 50502.8758389064. The cubic root of 2550540468 is about 1366.2937222580.

The spelling of 2550540468 in words is "two billion, five hundred fifty million, five hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 139 228 266 278 399 417 532 556 798 834 973 1596 1668 1946 2641 2919 3892 5282 5838 7923 10564 11497 11676 15846 18487 22994 31692 34491 36974 45988 55461 68982 73948 80479 110922 137964 160958 218443 221844 241437 321916 436886 482874 655329 873772 965748 1310658 1529101 1598083 2621316 3058202 3196166 4587303 4794249 6116404 6392332 9174606 9588498 11186581 18349212 19176996 22373162 30363577 33559743 44746324 60727154 67119486 91090731 121454308 134238972 182181462 212545039 364362924 425090078 637635117 850180156 1275270234 2550540468