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53450820 = 22335312103
BaseRepresentation
bin1100101111100…
…1100001000100
310201120120202000
43023321201010
5102140411240
65145345300
71216216203
oct313714104
9121516660
1053450820
1128198435
1215a98230
13b0c6007
14715523a
154a5c430
hex32f9844

53450820 has 144 divisors (see below), whose sum is σ = 173496960. Its totient is φ = 13659840.

The previous prime is 53450779. The next prime is 53450821. The reversal of 53450820 is 2805435.

53450820 is a `hidden beast` number, since 534 + 50 + 82 + 0 = 666.

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 (53450821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518889 + ... + 518991.

It is an arithmetic number, because the mean of its divisors is an integer number (1204840).

Almost surely, 253450820 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 53450820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86748480).

53450820 is an abundant number, since it is smaller than the sum of its proper divisors (120046140).

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

53450820 is a wasteful number, since it uses less digits than its factorization.

53450820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53450820 is about 7311.0067706165. The cubic root of 53450820 is about 376.6906068093.

The spelling of 53450820 in words is "fifty-three million, four hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 103 108 124 135 155 180 186 206 270 279 309 310 372 412 465 515 540 558 618 620 837 927 930 961 1030 1116 1236 1395 1545 1674 1854 1860 1922 2060 2781 2790 2883 3090 3193 3348 3708 3844 4185 4635 4805 5562 5580 5766 6180 6386 8370 8649 9270 9579 9610 11124 11532 12772 13905 14415 15965 16740 17298 18540 19158 19220 25947 27810 28737 28830 31930 34596 38316 43245 47895 51894 55620 57474 57660 63860 86211 86490 95790 98983 103788 114948 129735 143685 172422 172980 191580 197966 259470 287370 296949 344844 395932 431055 494915 518940 574740 593898 862110 890847 989830 1187796 1484745 1724220 1781694 1979660 2672541 2969490 3563388 4454235 5345082 5938980 8908470 10690164 13362705 17816940 26725410 53450820