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52153400 = 23521321543
BaseRepresentation
bin1100011011110…
…0110000111000
310122010200000102
43012330300320
5101322402100
65101454532
71202203505
oct306746070
9118120012
1052153400
1127491692
1215571448
13aa60600
146cd84ac
1548a2cd5
hex31bcc38

52153400 has 72 divisors (see below), whose sum is σ = 131386680. Its totient is φ = 19244160.

The previous prime is 52153393. The next prime is 52153411. The reversal of 52153400 is 435125.

52153400 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 (20).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 33029 + ... + 34571.

It is an arithmetic number, because the mean of its divisors is an integer number (1824815).

Almost surely, 252153400 is an apocalyptic number.

52153400 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 52153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65693340).

52153400 is an abundant number, since it is smaller than the sum of its proper divisors (79233280).

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

52153400 is a wasteful number, since it uses less digits than its factorization.

52153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 52153400 is about 7221.7310944122. The cubic root of 52153400 is about 373.6177856227.

Adding to 52153400 its reverse (435125), we get a palindrome (52588525).

The spelling of 52153400 in words is "fifty-two million, one hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1543 1690 2600 3086 3380 4225 6172 6760 7715 8450 12344 15430 16900 20059 30860 33800 38575 40118 61720 77150 80236 100295 154300 160472 200590 260767 308600 401180 501475 521534 802360 1002950 1043068 1303835 2005900 2086136 2607670 4011800 5215340 6519175 10430680 13038350 26076700 52153400