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53897400 = 2335521109
BaseRepresentation
bin1100110110011…
…0100010111000
310202102021100000
43031212202320
5102244204100
65203113000
71223056164
oct315464270
9122367300
1053897400
1128472a07
1216072760
13b22136b
14722dca4
154ae9900
hex33668b8

53897400 has 144 divisors (see below), whose sum is σ = 187878600. Its totient is φ = 14359680.

The previous prime is 53897383. The next prime is 53897407. The reversal of 53897400 is 479835.

53897400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53897407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48046 + ... + 49154.

Almost surely, 253897400 is an apocalyptic number.

53897400 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 53897400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93939300).

53897400 is an abundant number, since it is smaller than the sum of its proper divisors (133981200).

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

53897400 is a wasteful number, since it uses less digits than its factorization.

53897400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53897400 is about 7341.4848634319. The cubic root of 53897400 is about 377.7367781982.

The spelling of 53897400 in words is "fifty-three million, eight hundred ninety-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1109 1215 1350 1620 1800 1944 2025 2218 2430 2700 3240 3327 4050 4436 4860 5400 5545 6075 6654 8100 8872 9720 9981 11090 12150 13308 16200 16635 19962 22180 24300 26616 27725 29943 33270 39924 44360 48600 49905 55450 59886 66540 79848 83175 89829 99810 110900 119772 133080 149715 166350 179658 199620 221800 239544 249525 269487 299430 332700 359316 399240 449145 499050 538974 598860 665400 718632 748575 898290 998100 1077948 1197720 1347435 1497150 1796580 1996200 2155896 2245725 2694870 2994300 3593160 4491450 5389740 5988600 6737175 8982900 10779480 13474350 17965800 26948700 53897400