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53274240 = 273353083
BaseRepresentation
bin1100101100111…
…0011010000000
310201020121112000
43023032122000
5102114233430
65141504000
71214552325
oct313163200
9121217460
1053274240
11280877a8
1215a12000
13b063826
14710ab4c
154a24e60
hex32ce680

53274240 has 128 divisors (see below), whose sum is σ = 188740800. Its totient is φ = 14201856.

The previous prime is 53274223. The next prime is 53274241. The reversal of 53274240 is 4247235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53274241) 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 15 ways as a sum of consecutive naturals, for example, 15739 + ... + 18821.

Almost surely, 253274240 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 53274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94370400).

53274240 is an abundant number, since it is smaller than the sum of its proper divisors (135466560).

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

53274240 is a wasteful number, since it uses less digits than its factorization.

53274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 53274240 is about 7298.9204681240. The cubic root of 53274240 is about 376.2753377858.

The spelling of 53274240 in words is "fifty-three million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3083 3456 4320 5760 6166 8640 9249 12332 15415 17280 18498 24664 27747 30830 36996 46245 49328 55494 61660 73992 83241 92490 98656 110988 123320 138735 147984 166482 184980 197312 221976 246640 277470 295968 332964 369960 394624 416205 443952 493280 554940 591936 665928 739920 832410 887904 986560 1109880 1183872 1331856 1479840 1664820 1775808 1973120 2219760 2663712 2959680 3329640 3551616 4439520 5327424 5919360 6659280 8879040 10654848 13318560 17758080 26637120 53274240