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55357248 = 263401719
BaseRepresentation
bin1101001100101…
…0111101000000
310212011102212110
43103022331000
5103132412443
65254255320
71241346252
oct323127500
9125142773
1055357248
112927a7a1
1216657540
13b61298b
1474cdcd2
154cd7233
hex34caf40

55357248 has 56 divisors (see below), whose sum is σ = 147035520. Its totient is φ = 18380800.

The previous prime is 55357243. The next prime is 55357261. The reversal of 55357248 is 84275355.

It is a super-2 number, since 2×553572482 = 6128849812267008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55357243) 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, 76633 + ... + 77351.

Almost surely, 255357248 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 55357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73517760).

55357248 is an abundant number, since it is smaller than the sum of its proper divisors (91678272).

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

55357248 is a wasteful number, since it uses less digits than its factorization.

55357248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The square root of 55357248 is about 7440.2451572512. The cubic root of 55357248 is about 381.1168619413.

The spelling of 55357248 in words is "fifty-five million, three hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 401 719 802 1203 1438 1604 2157 2406 2876 3208 4314 4812 5752 6416 8628 9624 11504 12832 17256 19248 23008 25664 34512 38496 46016 69024 76992 138048 288319 576638 864957 1153276 1729914 2306552 3459828 4613104 6919656 9226208 13839312 18452416 27678624 55357248