Search a number
-
+
2553346644 = 2232921132239
BaseRepresentation
bin1001100000110000…
…1111101001010100
320120221120110010020
42120030033221110
520212124043034
61101211025140
7120163042212
oct23014175124
96527513106
102553346644
1110a0330142
125b313b1b0
13318cb9c04
141a3179cb2
15ee267249
hex9830fa54

2553346644 has 72 divisors (see below), whose sum is σ = 6227719680. Its totient is φ = 814130688.

The previous prime is 2553346643. The next prime is 2553346681. The reversal of 2553346644 is 4466433552.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2553346596 and 2553346605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553346643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139277 + ... + 1141515.

Almost surely, 22553346644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553346644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113859840).

2553346644 is an abundant number, since it is smaller than the sum of its proper divisors (3674373036).

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

2553346644 is a wasteful number, since it uses less digits than its factorization.

2553346644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2386 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The square root of 2553346644 is about 50530.6505400435. The cubic root of 2553346644 is about 1366.7946167998.

The spelling of 2553346644 in words is "two billion, five hundred fifty-three million, three hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 113 116 174 226 339 348 452 678 841 1356 1682 2239 2523 3277 3364 4478 5046 6554 6717 8956 9831 10092 13108 13434 19662 26868 39324 64931 95033 129862 190066 194793 253007 259724 285099 380132 389586 506014 570198 759021 779172 1012028 1140396 1518042 1882999 3036084 3765998 5648997 7337203 7531996 11297994 14674406 22011609 22595988 29348812 44023218 88046436 212778887 425557774 638336661 851115548 1276673322 2553346644