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54972450 = 23252139397
BaseRepresentation
bin1101000110110…
…1000000100010
310211102220000200
43101231000202
5103033104300
65242130030
71235154351
oct321550042
9124386020
1054972450
1129037685
12164b0916
13b5097a0
14742d998
154c5d200
hex346d022

54972450 has 72 divisors (see below), whose sum is σ = 159070548. Its totient is φ = 13530240.

The previous prime is 54972443. The next prime is 54972457. The reversal of 54972450 is 5427945.

54972450 is a `hidden beast` number, since 549 + 72 + 45 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54972443) and next prime (54972457).

It can be written as a sum of positive squares in 6 ways, for example, as 463761 + 54508689 = 681^2 + 7383^2 .

It is not an unprimeable number, because it can be changed into a prime (54972457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1152 + ... + 10548.

Almost surely, 254972450 is an apocalyptic number.

54972450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54972450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79535274).

54972450 is an abundant number, since it is smaller than the sum of its proper divisors (104098098).

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

54972450 is a wasteful number, since it uses less digits than its factorization.

54972450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 54972450 is about 7414.3408338166. The cubic root of 54972450 is about 380.2317376890.

The spelling of 54972450 in words is "fifty-four million, nine hundred seventy-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 9397 18794 28191 46985 56382 84573 93970 122161 140955 169146 234925 244322 281910 366483 422865 469850 610805 704775 732966 845730 1099449 1221610 1409550 1832415 2114325 2198898 3054025 3664830 4228650 5497245 6108050 9162075 10994490 18324150 27486225 54972450