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53398464 = 263767593
BaseRepresentation
bin1100101110110…
…0101111000000
310201110220220220
43023230233000
5102132222324
65144303040
71215610440
oct313545700
9121426826
1053398464
1128162069
1215a71a80
13b0a8232
147140120
154a4bb79
hex32ecbc0

53398464 has 112 divisors (see below), whose sum is σ = 164153088. Its totient is φ = 15003648.

The previous prime is 53398463. The next prime is 53398469. The reversal of 53398464 is 46489335.

53398464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53398463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89752 + ... + 90344.

Almost surely, 253398464 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 53398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82076544).

53398464 is an abundant number, since it is smaller than the sum of its proper divisors (110754624).

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

53398464 is a wasteful number, since it uses less digits than its factorization.

53398464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 53398464 is about 7307.4252647564. The cubic root of 53398464 is about 376.5675749814.

The spelling of 53398464 in words is "fifty-three million, three hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 134 168 192 201 224 268 336 402 448 469 536 593 672 804 938 1072 1186 1344 1407 1608 1779 1876 2144 2372 2814 3216 3558 3752 4151 4288 4744 5628 6432 7116 7504 8302 9488 11256 12453 12864 14232 15008 16604 18976 22512 24906 28464 30016 33208 37952 39731 45024 49812 56928 66416 79462 90048 99624 113856 119193 132832 158924 199248 238386 265664 278117 317848 398496 476772 556234 635696 796992 834351 953544 1112468 1271392 1668702 1907088 2224936 2542784 3337404 3814176 4449872 6674808 7628352 8899744 13349616 17799488 26699232 53398464