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54387630 = 232511137401
BaseRepresentation
bin1100111101111…
…0001110101110
310210100011210200
43033132032232
5102410401010
65221414330
71230200343
oct317361656
9123304720
1054387630
1128778260
121626a3a6
13b36353b
14731a7ca
154b94cc0
hex33de3ae

54387630 has 96 divisors (see below), whose sum is σ = 155776608. Its totient is φ = 13056000.

The previous prime is 54387589. The next prime is 54387631. The reversal of 54387630 is 3678345.

It is a happy number.

54387630 is a `hidden beast` number, since 543 + 87 + 6 + 30 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54387631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135430 + ... + 135830.

It is an arithmetic number, because the mean of its divisors is an integer number (1622673).

Almost surely, 254387630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54387630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77888304).

54387630 is an abundant number, since it is smaller than the sum of its proper divisors (101388978).

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

54387630 is a wasteful number, since it uses less digits than its factorization.

54387630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54387630 is about 7374.7969463572. The cubic root of 54387630 is about 378.8785728244.

The spelling of 54387630 in words is "fifty-four million, three hundred eighty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 137 165 198 274 330 401 411 495 685 802 822 990 1203 1233 1370 1507 2005 2055 2406 2466 3014 3609 4010 4110 4411 4521 6015 6165 7218 7535 8822 9042 12030 12330 13233 13563 15070 18045 22055 22605 26466 27126 36090 39699 44110 45210 54937 66165 67815 79398 109874 132330 135630 164811 198495 274685 329622 396990 494433 549370 604307 824055 988866 1208614 1648110 1812921 2472165 3021535 3625842 4944330 5438763 6043070 9064605 10877526 18129210 27193815 54387630