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53196672 = 2731729281
BaseRepresentation
bin1100101011101…
…1011110000000
310201002200010010
43022323132000
5102104243142
65140104520
71214110224
oct312733600
9121080103
1053196672
11280344a1
1215995140
13b037429
1470ca784
154a0be9c
hex32bb780

53196672 has 128 divisors (see below), whose sum is σ = 155325600. Its totient is φ = 16056320.

The previous prime is 53196667. The next prime is 53196691. The reversal of 53196672 is 27669135.

53196672 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 (128).

It is a self number, because there is not a number n which added to its sum of digits gives 53196672.

It is a congruent number.

It is an unprimeable number.

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, 189172 + ... + 189452.

Almost surely, 253196672 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 53196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77662800).

53196672 is an abundant number, since it is smaller than the sum of its proper divisors (102128928).

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

53196672 is a wasteful number, since it uses less digits than its factorization.

53196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 53196672 is about 7293.6048700214. The cubic root of 53196672 is about 376.0926284540.

The spelling of 53196672 in words is "fifty-three million, one hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 272 281 348 384 408 464 493 544 562 696 816 843 928 986 1088 1124 1392 1479 1632 1686 1856 1972 2176 2248 2784 2958 3264 3372 3712 3944 4496 4777 5568 5916 6528 6744 7888 8149 8992 9554 11136 11832 13488 14331 15776 16298 17984 19108 23664 24447 26976 28662 31552 32596 35968 38216 47328 48894 53952 57324 63104 65192 76432 94656 97788 107904 114648 130384 138533 152864 189312 195576 229296 260768 277066 305728 391152 415599 458592 521536 554132 611456 782304 831198 917184 1043072 1108264 1564608 1662396 1834368 2216528 3129216 3324792 4433056 6649584 8866112 13299168 17732224 26598336 53196672