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54457700 = 225211311597
BaseRepresentation
bin1100111110111…
…1010101100100
310210110201220212
43033233111210
5102420121300
65223114552
71230611543
oct317572544
9123421825
1054457700
1128815970
12162a2a58
13b3893bb
14733815a
154baa935
hex33ef564

54457700 has 72 divisors (see below), whose sum is σ = 133158144. Its totient is φ = 19152000.

The previous prime is 54457699. The next prime is 54457703. The reversal of 54457700 is 775445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54457703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33302 + ... + 34898.

Almost surely, 254457700 is an apocalyptic number.

54457700 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 54457700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66579072).

54457700 is an abundant number, since it is smaller than the sum of its proper divisors (78700444).

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

54457700 is a wasteful number, since it uses less digits than its factorization.

54457700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 54457700 is about 7379.5460564997. The cubic root of 54457700 is about 379.0412116987.

It can be divided in two parts, 54 and 457700, that added together give a palindrome (457754).

The spelling of 54457700 in words is "fifty-four million, four hundred fifty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1597 1705 3100 3194 3410 6388 6820 7985 8525 15970 17050 17567 31940 34100 35134 39925 49507 70268 79850 87835 99014 159700 175670 198028 247535 351340 439175 495070 544577 878350 990140 1089154 1237675 1756700 2178308 2475350 2722885 4950700 5445770 10891540 13614425 27228850 54457700