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53193024 = 263431331
BaseRepresentation
bin1100101011101…
…0100101000000
310201002111010000
43022322211000
5102104134044
65140040000
71214063463
oct312724500
9121074100
1053193024
1128031785
1215993000
13b035881
1470c92da
154a0ad69
hex32ba940

53193024 has 140 divisors (see below), whose sum is σ = 163259008. Its totient is φ = 17107200.

The previous prime is 53193001. The next prime is 53193059. The reversal of 53193024 is 42039135.

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160539 + ... + 160869.

Almost surely, 253193024 is an apocalyptic number.

53193024 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 53193024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81629504).

53193024 is an abundant number, since it is smaller than the sum of its proper divisors (110065984).

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

53193024 is a wasteful number, since it uses less digits than its factorization.

53193024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53193024 is about 7293.3547836370. The cubic root of 53193024 is about 376.0840313167.

The spelling of 53193024 in words is "fifty-three million, one hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 331 372 432 496 558 576 648 662 744 837 864 992 993 1116 1296 1324 1488 1674 1728 1984 1986 2232 2511 2592 2648 2976 2979 3348 3972 4464 5022 5184 5296 5952 5958 6696 7944 8928 8937 10044 10261 10592 11916 13392 15888 17856 17874 20088 20522 21184 23832 26784 26811 30783 31776 35748 40176 41044 47664 53568 53622 61566 63552 71496 80352 82088 92349 95328 107244 123132 142992 160704 164176 184698 190656 214488 246264 277047 285984 328352 369396 428976 492528 554094 571968 656704 738792 831141 857952 985056 1108188 1477584 1662282 1715904 1970112 2216376 2955168 3324564 4432752 5910336 6649128 8865504 13298256 17731008 26596512 53193024