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53828376 = 2337373859
BaseRepresentation
bin1100110101010…
…1101100011000
310202021202122120
43031111230120
5102240002001
65201421240
71222351020
oct315255430
9122252576
1053828376
1128426068
121603a820
13b1c8b14
147212a80
154ad4236
hex3355b18

53828376 has 64 divisors (see below), whose sum is σ = 154387200. Its totient is φ = 15320448.

The previous prime is 53828371. The next prime is 53828381. The reversal of 53828376 is 67382835.

53828376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53828371) and next prime (53828381).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53828371) 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 15 ways as a sum of consecutive naturals, for example, 62235 + ... + 63093.

It is an arithmetic number, because the mean of its divisors is an integer number (2412300).

Almost surely, 253828376 is an apocalyptic number.

53828376 is a gapful number since it is divisible by the number (56) 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 53828376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77193600).

53828376 is an abundant number, since it is smaller than the sum of its proper divisors (100558824).

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

53828376 is a wasteful number, since it uses less digits than its factorization.

53828376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 53828376 is about 7336.7824010257. The cubic root of 53828376 is about 377.5754590905.

The spelling of 53828376 in words is "fifty-three million, eight hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 373 746 859 1119 1492 1718 2238 2577 2611 2984 3436 4476 5154 5222 6013 6872 7833 8952 10308 10444 12026 15666 18039 20616 20888 24052 31332 36078 48104 62664 72156 144312 320407 640814 961221 1281628 1922442 2242849 2563256 3844884 4485698 6728547 7689768 8971396 13457094 17942792 26914188 53828376