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53378400 = 2535223967
BaseRepresentation
bin1100101110011…
…1110101100000
310201102220101210
43023213311200
5102131102100
65144030120
71215465105
oct313476540
9121386353
1053378400
1128148a89
1215a62340
13b09c06a
147136aac
154a45c50
hex32e7d60

53378400 has 144 divisors (see below), whose sum is σ = 181488384. Its totient is φ = 13601280.

The previous prime is 53378389. The next prime is 53378401. The reversal of 53378400 is 487335.

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 (53378401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54717 + ... + 55683.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 253378400 is an apocalyptic number.

53378400 is a gapful number since it is divisible by the number (50) 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 53378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

53378400 is an abundant number, since it is smaller than the sum of its proper divisors (128109984).

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

53378400 is a wasteful number, since it uses less digits than its factorization.

53378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 53378400 is about 7306.0522856054. The cubic root of 53378400 is about 376.5204050958.

The spelling of 53378400 in words is "fifty-three million, three hundred seventy-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 967 1104 1150 1200 1380 1725 1840 1934 2208 2300 2400 2760 2901 3450 3680 3868 4600 4835 5520 5802 6900 7736 9200 9670 11040 11604 13800 14505 15472 18400 19340 22241 23208 24175 27600 29010 30944 38680 44482 46416 48350 55200 58020 66723 72525 77360 88964 92832 96700 111205 116040 133446 145050 154720 177928 193400 222410 232080 266892 290100 333615 355856 386800 444820 464160 533784 556025 580200 667230 711712 773600 889640 1067568 1112050 1160400 1334460 1668075 1779280 2135136 2224100 2320800 2668920 3336150 3558560 4448200 5337840 6672300 8896400 10675680 13344600 17792800 26689200 53378400