Search a number
-
+
53228400 = 2435244357
BaseRepresentation
bin1100101100001…
…1001101110000
310201011021122020
43023003031300
5102111302100
65140511440
71214301561
oct313031560
9121137566
1053228400
1128056315
12159ab580
13b0489c4
1470d8168
154a165a0
hex32c3370

53228400 has 60 divisors (see below), whose sum is σ = 170512152. Its totient is φ = 14193920.

The previous prime is 53228389. The next prime is 53228419. The reversal of 53228400 is 482235.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20979 + ... + 23378.

Almost surely, 253228400 is an apocalyptic number.

53228400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53228400 is an abundant number, since it is smaller than the sum of its proper divisors (117283752).

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

53228400 is a wasteful number, since it uses less digits than its factorization.

53228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44378 (or 44367 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 53228400 is about 7295.7796019343. The cubic root of 53228400 is about 376.1673843546.

It can be divided in two parts, 53228 and 400, that added together give a triangular number (53628 = T327).

The spelling of 53228400 in words is "fifty-three million, two hundred twenty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 44357 88714 133071 177428 221785 266142 354856 443570 532284 665355 709712 887140 1064568 1108925 1330710 1774280 2129136 2217850 2661420 3326775 3548560 4435700 5322840 6653550 8871400 10645680 13307100 17742800 26614200 53228400