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54752500 = 2254112181
BaseRepresentation
bin1101000011011…
…1010011110100
310211000201022101
43100313103310
5103004040000
65233311444
71233250165
oct320672364
9124021271
1054752500
11289a7400
1216405584
13b46063a
1473b376c
154c17e6a
hex34374f4

54752500 has 90 divisors (see below), whose sum is σ = 132334202. Its totient is φ = 19800000.

The previous prime is 54752497. The next prime is 54752513. The reversal of 54752500 is 525745.

It can be written as a sum of positive squares in 5 ways, for example, as 39589264 + 15163236 = 6292^2 + 3894^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 302410 + ... + 302590.

Almost surely, 254752500 is an apocalyptic number.

54752500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54752500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167101).

54752500 is an abundant number, since it is smaller than the sum of its proper divisors (77581702).

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

54752500 is a wasteful number, since it uses less digits than its factorization.

54752500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 54752500 is about 7399.4932258905. The cubic root of 54752500 is about 379.7239453971.

The spelling of 54752500 in words is "fifty-four million, seven hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 181 220 242 250 275 362 484 500 550 605 625 724 905 1100 1210 1250 1375 1810 1991 2420 2500 2750 3025 3620 3982 4525 5500 6050 6875 7964 9050 9955 12100 13750 15125 18100 19910 21901 22625 27500 30250 39820 43802 45250 49775 60500 75625 87604 90500 99550 109505 113125 151250 199100 219010 226250 248875 302500 438020 452500 497750 547525 995500 1095050 1244375 2190100 2488750 2737625 4977500 5475250 10950500 13688125 27376250 54752500