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54330048 = 2633231367
BaseRepresentation
bin1100111101000…
…0001011000000
310210020020211000
43033100023000
5102402030143
65220252000
71226540433
oct317201300
9123206730
1054330048
1128738a73
1216241000
13b343276
14730381a
154b82bd3
hex33d02c0

54330048 has 112 divisors (see below), whose sum is σ = 166786560. Its totient is φ = 17309952.

The previous prime is 54330047. The next prime is 54330049. The reversal of 54330048 is 84003345.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54330047) and next prime (54330049).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54330047) 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, 39061 + ... + 40427.

Almost surely, 254330048 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 54330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

54330048 is an abundant number, since it is smaller than the sum of its proper divisors (112456512).

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

54330048 is a wasteful number, since it uses less digits than its factorization.

54330048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54330048 is about 7370.8919405999. The cubic root of 54330048 is about 378.7448151432.

The spelling of 54330048 in words is "fifty-four million, three hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1367 1472 1656 1728 2208 2484 2734 3312 4101 4416 4968 5468 6624 8202 9936 10936 12303 13248 16404 19872 21872 24606 31441 32808 36909 39744 43744 49212 62882 65616 73818 87488 94323 98424 125764 131232 147636 188646 196848 251528 262464 282969 295272 377292 393696 503056 565938 590544 754584 787392 848907 1006112 1131876 1181088 1509168 1697814 2012224 2263752 2362176 3018336 3395628 4527504 6036672 6791256 9055008 13582512 18110016 27165024 54330048