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553257248 = 25173153619
BaseRepresentation
bin100000111110100…
…000100100100000
31102120001101021012
4200332200210200
52113113212443
6130522120052
716465415615
oct4076404440
91376041235
10553257248
112643323a5
12135350028
138a810c6b
145369a50c
1533888118
hex20fa0920

553257248 has 96 divisors (see below), whose sum is σ = 1214922240. Its totient is φ = 246804480.

The previous prime is 553257241. The next prime is 553257269. The reversal of 553257248 is 842752355.

It is not an unprimeable number, because it can be changed into a prime (553257241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893483 + ... + 894101.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 2553257248 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 553257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607461120).

553257248 is an abundant number, since it is smaller than the sum of its proper divisors (661664992).

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

553257248 is a wasteful number, since it uses less digits than its factorization.

553257248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its digits is 336000, while the sum is 41.

The square root of 553257248 is about 23521.4210455066. The cubic root of 553257248 is about 820.9355018237.

The spelling of 553257248 in words is "five hundred fifty-three million, two hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 53 62 68 106 124 136 212 248 272 424 496 527 544 619 848 901 992 1054 1238 1643 1696 1802 2108 2476 3286 3604 4216 4952 6572 7208 8432 9904 10523 13144 14416 16864 19189 19808 21046 26288 27931 28832 32807 38378 42092 52576 55862 65614 76756 84184 111724 131228 153512 168368 223448 262456 307024 326213 336736 446896 524912 557719 614048 652426 893792 1017017 1049824 1115438 1304852 2034034 2230876 2609704 4068068 4461752 5219408 8136136 8923504 10438816 16272272 17289289 17847008 32544544 34578578 69157156 138314312 276628624 553257248