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54981504 = 27345303
BaseRepresentation
bin1101000110111…
…1001110000000
310211110100110000
43101233032000
5103033402004
65242240000
71235222634
oct321571600
9124410400
1054981504
1129043466
12164b6000
13b510946
147432dc4
154c60c39
hex346f380

54981504 has 80 divisors (see below), whose sum is σ = 163654920. Its totient is φ = 18323712.

The previous prime is 54981491. The next prime is 54981517. The reversal of 54981504 is 40518945.

It is an interprime number because it is at equal distance from previous prime (54981491) and next prime (54981517).

It is a super-3 number, since 3×549815043 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7717 + ... + 13019.

Almost surely, 254981504 is an apocalyptic number.

54981504 is a gapful number since it is divisible by the number (54) 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 54981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81827460).

54981504 is an abundant number, since it is smaller than the sum of its proper divisors (108673416).

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

54981504 is an equidigital number, since it uses as much as digits as its factorization.

54981504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 54981504 is about 7414.9513821737. The cubic root of 54981504 is about 380.2526113519.

The spelling of 54981504 in words is "fifty-four million, nine hundred eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 5303 10368 10606 15909 21212 31818 42424 47727 63636 84848 95454 127272 143181 169696 190908 254544 286362 339392 381816 429543 509088 572724 678784 763632 859086 1018176 1145448 1527264 1718172 2036352 2290896 3054528 3436344 4581792 6109056 6872688 9163584 13745376 18327168 27490752 54981504