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54300672 = 21233491
BaseRepresentation
bin1100111100100…
…1000000000000
310210011202112000
43033021000000
5102400110142
65215504000
71226355666
oct317110000
9123152460
1054300672
1128718998
1216228000
13b332a9a
1472d6c36
154b7914c
hex33c9000

54300672 has 104 divisors (see below), whose sum is σ = 161198880. Its totient is φ = 18063360.

The previous prime is 54300667. The next prime is 54300691. The reversal of 54300672 is 27600345.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110347 + ... + 110837.

Almost surely, 254300672 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 54300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80599440).

54300672 is an abundant number, since it is smaller than the sum of its proper divisors (106898208).

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

54300672 is an equidigital number, since it uses as much as digits as its factorization.

54300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 54300672 is about 7368.8989679599. The cubic root of 54300672 is about 378.6765409931.

The spelling of 54300672 in words is "fifty-four million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 491 512 576 768 864 982 1024 1152 1473 1536 1728 1964 2048 2304 2946 3072 3456 3928 4096 4419 4608 5892 6144 6912 7856 8838 9216 11784 12288 13257 13824 15712 17676 18432 23568 26514 27648 31424 35352 36864 47136 53028 55296 62848 70704 94272 106056 110592 125696 141408 188544 212112 251392 282816 377088 424224 502784 565632 754176 848448 1005568 1131264 1508352 1696896 2011136 2262528 3016704 3393792 4525056 6033408 6787584 9050112 13575168 18100224 27150336 54300672