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54611712 = 28337901
BaseRepresentation
bin1101000001010…
…0111100000000
310210202120012000
43100110330000
5102440033322
65230304000
71232122551
oct320247400
9123676160
1054611712
1128910651
1216358000
13b41152c
147378328
154bdb3ac
hex3414f00

54611712 has 72 divisors (see below), whose sum is σ = 161516880. Its totient is φ = 18201600.

The previous prime is 54611707. The next prime is 54611737. The reversal of 54611712 is 21711645.

It is a happy number.

54611712 is a `hidden beast` number, since 546 + 117 + 1 + 2 = 666.

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 (27).

It is a congruent number.

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, 2962 + ... + 10862.

It is an arithmetic number, because the mean of its divisors is an integer number (2243290).

Almost surely, 254611712 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 54611712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80758440).

54611712 is an abundant number, since it is smaller than the sum of its proper divisors (106905168).

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

54611712 is an equidigital number, since it uses as much as digits as its factorization.

54611712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7906 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 54611712 is about 7389.9737482619. The cubic root of 54611712 is about 379.3981979433.

The spelling of 54611712 in words is "fifty-four million, six hundred eleven thousand, seven hundred twelve".

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 7901 15802 23703 31604 47406 63208 71109 94812 126416 142218 189624 213327 252832 284436 379248 426654 505664 568872 758496 853308 1011328 1137744 1516992 1706616 2022656 2275488 3033984 3413232 4550976 6067968 6826464 9101952 13652928 18203904 27305856 54611712