Search a number
-
+
54999552 = 29361587
BaseRepresentation
bin1101000111001…
…1101000000000
310211111021012110
43101303220000
5103034441202
65242455320
71235326356
oct321635000
9124437173
1054999552
1129055a83
1216504540
13b518c1a
1474397d6
154c6626c
hex3473a00

54999552 has 80 divisors (see below), whose sum is σ = 149177952. Its totient is φ = 18001920.

The previous prime is 54999551. The next prime is 54999559. The reversal of 54999552 is 25599945.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (54999551) 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, 93403 + ... + 93989.

Almost surely, 254999552 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 54999552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74588976).

54999552 is an abundant number, since it is smaller than the sum of its proper divisors (94178400).

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

54999552 is an equidigital number, since it uses as much as digits as its factorization.

54999552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its digits is 729000, while the sum is 48.

The square root of 54999552 is about 7416.1682828803. The cubic root of 54999552 is about 380.2942135141.

It can be divided in two parts, 5499 and 9552, that added together give a palindrome (15051).

The spelling of 54999552 in words is "fifty-four million, nine hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 587 732 768 976 1174 1464 1536 1761 1952 2348 2928 3522 3904 4696 5856 7044 7808 9392 11712 14088 15616 18784 23424 28176 31232 35807 37568 46848 56352 71614 75136 93696 107421 112704 143228 150272 214842 225408 286456 300544 429684 450816 572912 859368 901632 1145824 1718736 2291648 3437472 4583296 6874944 9166592 13749888 18333184 27499776 54999552