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53341376 = 2611174457
BaseRepresentation
bin1100101101111…
…0110011000000
310201101000121112
43023132303000
5102123411001
65143142452
71215252134
oct313366300
9121330545
1053341376
1128123190
1215a44a28
13b08825a
1471273c4
154a39cbb
hex32decc0

53341376 has 56 divisors (see below), whose sum is σ = 122291856. Its totient is φ = 22814720.

The previous prime is 53341363. The next prime is 53341391. The reversal of 53341376 is 67314335.

53341376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 9740 + ... + 14196.

Almost surely, 253341376 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 53341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61145928).

53341376 is an abundant number, since it is smaller than the sum of its proper divisors (68950480).

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

53341376 is a wasteful number, since it uses less digits than its factorization.

53341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4487 counting only the distinct ones).

The product of its digits is 22680, while the sum is 32.

The square root of 53341376 is about 7303.5180563890. The cubic root of 53341376 is about 376.4333316991.

The spelling of 53341376 in words is "fifty-three million, three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 4457 5984 8914 11968 17828 35656 49027 71312 75769 98054 142624 151538 196108 285248 303076 392216 606152 784432 833459 1212304 1568864 1666918 2424608 3137728 3333836 4849216 6667672 13335344 26670688 53341376