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53816896 = 26721312
BaseRepresentation
bin1100110101001…
…0111001000000
310202021011220101
43031102321000
5102234120041
65201252144
71222302400
oct315227100
9122234811
1053816896
1128418481
1216034054
13b1c3823
14720c800
154ad0b31
hex3352e40

53816896 has 63 divisors (see below), whose sum is σ = 125184027. Its totient is φ = 22888320.

The previous prime is 53816891. The next prime is 53816929. The reversal of 53816896 is 69861835.

The square root of 53816896 is 7336.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (311040) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (53816891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 410751 + ... + 410881.

Almost surely, 253816896 is an apocalyptic number.

53816896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

53816896 is the 7336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53816896

53816896 is an abundant number, since it is smaller than the sum of its proper divisors (71367131).

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

53816896 is an equidigital number, since it uses as much as digits as its factorization.

53816896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 140 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The cubic root of 53816896 is about 377.5486152906.

It can be divided in two parts, 53816 and 896, that multiplied together give a square (48219136 = 69442).

The spelling of 53816896 in words is "fifty-three million, eight hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 131 196 224 262 392 448 524 784 917 1048 1568 1834 2096 3136 3668 4192 6419 7336 8384 12838 14672 17161 25676 29344 34322 51352 58688 68644 102704 120127 137288 205408 240254 274576 410816 480508 549152 840889 961016 1098304 1681778 1922032 3363556 3844064 6727112 7688128 13454224 26908448 53816896