Search a number
-
+
10551552 = 283111249
BaseRepresentation
bin101000010000…
…000100000000
3201212002000020
4220100010000
510200122202
61014053440
7155454354
oct50200400
921762006
1010551552
115a575a0
12364a280
13225592b
141589464
15dd65bc
hexa10100

10551552 has 72 divisors (see below), whose sum is σ = 30660000. Its totient is φ = 3194880.

The previous prime is 10551533. The next prime is 10551553. The reversal of 10551552 is 25515501.

It is a super-2 number, since 2×105515522 = 222670499217408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10551553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7824 + ... + 9072.

Almost surely, 210551552 is an apocalyptic number.

10551552 is a gapful number since it is divisible by the number (12) 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 10551552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330000).

10551552 is an abundant number, since it is smaller than the sum of its proper divisors (20108448).

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

10551552 is a wasteful number, since it uses less digits than its factorization.

10551552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

The square root of 10551552 is about 3248.3152556364. The cubic root of 10551552 is about 219.3337418859. Note that the first 3 decimals are identical.

The spelling of 10551552 in words is "ten million, five hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1249 1408 2112 2498 2816 3747 4224 4996 7494 8448 9992 13739 14988 19984 27478 29976 39968 41217 54956 59952 79936 82434 109912 119904 159872 164868 219824 239808 319744 329736 439648 479616 659472 879296 959232 1318944 1758592 2637888 3517184 5275776 10551552