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54497152 = 27372311
BaseRepresentation
bin1100111111100…
…0111110000000
310210112202001001
43033320332000
5102422402102
65224021344
71231134553
oct317707600
9123482031
1054497152
1128842576
1216301854
13b3a1348
14734869a
154bb7487
hex33f8f80

54497152 has 48 divisors (see below), whose sum is σ = 111940920. Its totient is φ = 26426880.

The previous prime is 54497147. The next prime is 54497161. The reversal of 54497152 is 25179445.

It is a super-2 number, since 2×544971522 = 5939879152222208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

Its product of digits (50400) is a multiple of the sum of its prime divisors (350).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175077 + ... + 175387.

Almost surely, 254497152 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 54497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55970460).

54497152 is an abundant number, since it is smaller than the sum of its proper divisors (57443768).

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

54497152 is an equidigital number, since it uses as much as digits as its factorization.

54497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 350 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 54497152 is about 7382.2186366972. The cubic root of 54497152 is about 379.1327220159.

The spelling of 54497152 in words is "fifty-four million, four hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 311 592 622 1184 1244 1369 2368 2488 2738 4736 4976 5476 9952 10952 11507 19904 21904 23014 39808 43808 46028 87616 92056 175232 184112 368224 425759 736448 851518 1472896 1703036 3406072 6812144 13624288 27248576 54497152