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53316480 = 273573967
BaseRepresentation
bin1100101101100…
…0101110000000
310201022202110110
43023120232000
5102122111410
65142431320
71215116430
oct313305600
9121282413
1053316480
1128106508
1215a32540
13b079b19
14711c2c0
154a32720
hex32d8b80

53316480 has 128 divisors (see below), whose sum is σ = 194273280. Its totient is φ = 12183552.

The previous prime is 53316469. The next prime is 53316481. The reversal of 53316480 is 8461335.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53316481) 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, 11457 + ... + 15423.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 253316480 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 53316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136640).

53316480 is an abundant number, since it is smaller than the sum of its proper divisors (140956800).

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

53316480 is a wasteful number, since it uses less digits than its factorization.

53316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 53316480 is about 7301.8134733777. The cubic root of 53316480 is about 376.3747583906.

It can be divided in two parts, 5331 and 6480, that added together give a palindrome (11811).

The spelling of 53316480 in words is "fifty-three million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 3967 4480 6720 7934 11901 13440 15868 19835 23802 27769 31736 39670 47604 55538 59505 63472 79340 83307 95208 111076 119010 126944 138845 158680 166614 190416 222152 238020 253888 277690 317360 333228 380832 416535 444304 476040 507776 555380 634720 666456 761664 833070 888608 952080 1110760 1269440 1332912 1523328 1666140 1777216 1904160 2221520 2538880 2665824 3332280 3554432 3808320 4443040 5331648 6664560 7616640 8886080 10663296 13329120 17772160 26658240 53316480