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53213316 = 223132631297
BaseRepresentation
bin1100101011111…
…1100010000100
310201010111221120
43022333202010
5102110311231
65140313540
71214206602
oct312774204
9121114846
1053213316
1128045a52
12159a28b0
13b041b90
1470d2872
154a11d96
hex32bf884

53213316 has 48 divisors (see below), whose sum is σ = 134327424. Its totient is φ = 16298496.

The previous prime is 53213309. The next prime is 53213323. The reversal of 53213316 is 61331235.

It is a happy number.

53213316 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 (53213309) and next prime (53213323).

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 15 ways as a sum of consecutive naturals, for example, 40380 + ... + 41676.

It is an arithmetic number, because the mean of its divisors is an integer number (2798488).

Almost surely, 253213316 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 53213316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67163712).

53213316 is an abundant number, since it is smaller than the sum of its proper divisors (81114108).

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

53213316 is a wasteful number, since it uses less digits than its factorization.

53213316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1578 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 53213316 is about 7294.7457803545. The cubic root of 53213316 is about 376.1318479061.

The spelling of 53213316 in words is "fifty-three million, two hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 263 526 789 1052 1297 1578 2594 3156 3419 3891 5188 6838 7782 10257 13676 15564 16861 20514 33722 41028 50583 67444 101166 202332 341111 682222 1023333 1364444 2046666 4093332 4434443 8868886 13303329 17737772 26606658 53213316