Search a number
-
+
2554432328 = 237247138647
BaseRepresentation
bin1001100001000001…
…1000101101001000
320121000121121101202
42120100120231020
520212413313303
61101250203332
7120205213400
oct23020305510
96530547352
102554432328
1110a0a018a8
125b3583548
133192aa126
141a337d800
15ee3cdc88
hex98418b48

2554432328 has 48 divisors (see below), whose sum is σ = 5690113920. Its totient is φ = 1071456288.

The previous prime is 2554432313. The next prime is 2554432337. The reversal of 2554432328 is 8232344552.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2554432291 and 2554432300.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 50900 + ... + 87747.

It is an arithmetic number, because the mean of its divisors is an integer number (118544040).

Almost surely, 22554432328 is an apocalyptic number.

2554432328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2554432328 is an abundant number, since it is smaller than the sum of its proper divisors (3135681592).

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

2554432328 is a wasteful number, since it uses less digits than its factorization.

2554432328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138714 (or 138703 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The square root of 2554432328 is about 50541.3922245915. The cubic root of 2554432328 is about 1366.9883098863.

The spelling of 2554432328 in words is "two billion, five hundred fifty-four million, four hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1316 2303 2632 4606 9212 18424 138647 277294 554588 970529 1109176 1941058 3882116 6516409 6793703 7764232 13032818 13587406 26065636 27174812 45614863 52131272 54349624 91229726 182459452 319304041 364918904 638608082 1277216164 2554432328