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55142048 = 2513415361
BaseRepresentation
bin1101001001011…
…0011010100000
310211202111200002
43102112122200
5103104021143
65245515132
71236461663
oct322263240
9124674602
1055142048
1129143045
1216572aa8
13b568a40
1474756da
154c935b8
hex34966a0

55142048 has 96 divisors (see below), whose sum is σ = 124023312. Its totient is φ = 23961600.

The previous prime is 55142023. The next prime is 55142051. The reversal of 55142048 is 84024155.

It can be written as a sum of positive squares in 8 ways, for example, as 795664 + 54346384 = 892^2 + 7372^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55142048.

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 15 ways as a sum of consecutive naturals, for example, 903938 + ... + 903998.

Almost surely, 255142048 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 55142048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62011656).

55142048 is an abundant number, since it is smaller than the sum of its proper divisors (68881264).

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

55142048 is a wasteful number, since it uses less digits than its factorization.

55142048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 55142048 is about 7425.7691857477. The cubic root of 55142048 is about 380.6223596514.

The spelling of 55142048 in words is "fifty-five million, one hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 53 61 82 104 106 122 164 208 212 244 328 416 424 488 533 656 689 793 848 976 1066 1312 1378 1586 1696 1952 2132 2173 2501 2756 3172 3233 4264 4346 5002 5512 6344 6466 8528 8692 10004 11024 12688 12932 17056 17384 20008 22048 25376 25864 28249 32513 34768 40016 42029 51728 56498 65026 69536 80032 84058 103456 112996 130052 132553 168116 225992 260104 265106 336232 451984 520208 530212 672464 903968 1040416 1060424 1344928 1723189 2120848 3446378 4241696 6892756 13785512 27571024 55142048