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54376704 = 28337867
BaseRepresentation
bin1100111101101…
…1100100000000
310210022121211000
43033123210000
5102410023304
65221252000
71230123444
oct317334400
9123277730
1054376704
1128770028
1216264000
13b35b585
147316824
154b91939
hex33db900

54376704 has 72 divisors (see below), whose sum is σ = 160821920. Its totient is φ = 18123264.

The previous prime is 54376667. The next prime is 54376709. The reversal of 54376704 is 40767345.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (54376709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2979 + ... + 10845.

Almost surely, 254376704 is an apocalyptic number.

54376704 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 54376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80410960).

54376704 is an abundant number, since it is smaller than the sum of its proper divisors (106445216).

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

54376704 is an equidigital number, since it uses as much as digits as its factorization.

54376704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7892 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 54376704 is about 7374.0561429921. The cubic root of 54376704 is about 378.8531999929.

The spelling of 54376704 in words is "fifty-four million, three hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 7867 15734 23601 31468 47202 62936 70803 94404 125872 141606 188808 212409 251744 283212 377616 424818 503488 566424 755232 849636 1006976 1132848 1510464 1699272 2013952 2265696 3020928 3398544 4531392 6041856 6797088 9062784 13594176 18125568 27188352 54376704