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54252480 = 2635311823
BaseRepresentation
bin1100111011110…
…1001111000000
310210002022102010
43032331033000
5102342034410
65214452520
71226065332
oct316751700
9123068363
1054252480
1128695767
1216204140
13b316b79
1472c3452
154b69c20
hex33bd3c0

54252480 has 112 divisors (see below), whose sum is σ = 177905664. Its totient is φ = 13992960.

The previous prime is 54252463. The next prime is 54252487. The reversal of 54252480 is 8425245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54252487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28849 + ... + 30671.

Almost surely, 254252480 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 54252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88952832).

54252480 is an abundant number, since it is smaller than the sum of its proper divisors (123653184).

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

54252480 is a wasteful number, since it uses less digits than its factorization.

54252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 54252480 is about 7365.6282827740. The cubic root of 54252480 is about 378.5644823354.

The spelling of 54252480 in words is "fifty-four million, two hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1823 1860 1984 2480 2976 3646 3720 4960 5469 5952 7292 7440 9115 9920 10938 14584 14880 18230 21876 27345 29168 29760 36460 43752 54690 56513 58336 72920 87504 109380 113026 116672 145840 169539 175008 218760 226052 282565 291680 339078 350016 437520 452104 565130 583360 678156 847695 875040 904208 1130260 1356312 1695390 1750080 1808416 2260520 2712624 3390780 3616832 4521040 5425248 6781560 9042080 10850496 13563120 18084160 27126240 54252480