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553648128 = 224311
BaseRepresentation
bin100001000000000…
…000000000000000
31102120210020110020
4201000000000000
52113213220003
6130534333440
716501634325
oct4100000000
91376706406
10553648128
1126457a040
121354ba280
138a919b57
145375cb4c
1533913d53
hex21000000

553648128 has 100 divisors (see below), whose sum is σ = 1610612688. Its totient is φ = 167772160.

The previous prime is 553648103. The next prime is 553648171. The reversal of 553648128 is 821846355.

Its product of digits (230400) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 553648128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50331643 + ... + 50331653.

Almost surely, 2553648128 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 553648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805306344).

553648128 is an abundant number, since it is smaller than the sum of its proper divisors (1056964560).

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

553648128 is an frugal number, since it uses more digits than its factorization.

553648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 16 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 553648128 is about 23529.7286002198. The cubic root of 553648128 is about 821.1287884789.

The spelling of 553648128 in words is "five hundred fifty-three million, six hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8192 8448 11264 12288 16384 16896 22528 24576 32768 33792 45056 49152 65536 67584 90112 98304 131072 135168 180224 196608 262144 270336 360448 393216 524288 540672 720896 786432 1048576 1081344 1441792 1572864 2097152 2162688 2883584 3145728 4194304 4325376 5767168 6291456 8388608 8650752 11534336 12582912 16777216 17301504 23068672 25165824 34603008 46137344 50331648 69206016 92274688 138412032 184549376 276824064 553648128