Search a number
-
+
53744328 = 233211231199
BaseRepresentation
bin1100110100000…
…1001011001000
310202010111100200
43031001023020
5102224304303
65155532200
71221551001
oct315011310
9122114320
1053744328
1128378a00
1215bba060
13b1997a1
1471d01a8
154ab93a3
hex33412c8

53744328 has 144 divisors (see below), whose sum is σ = 165984000. Its totient is φ = 15681600.

The previous prime is 53744311. The next prime is 53744329. The reversal of 53744328 is 82344735.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53744292 and 53744301.

It is not an unprimeable number, because it can be changed into a prime (53744329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269973 + ... + 270171.

Almost surely, 253744328 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 53744328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82992000).

53744328 is an abundant number, since it is smaller than the sum of its proper divisors (112239672).

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

53744328 is a wasteful number, since it uses less digits than its factorization.

53744328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 53744328 is about 7331.0523119127. The cubic root of 53744328 is about 377.3788404066.

The spelling of 53744328 in words is "fifty-three million, seven hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 121 124 132 186 198 199 242 248 264 279 341 363 372 396 398 484 558 597 682 726 744 792 796 968 1023 1089 1116 1194 1364 1452 1592 1791 2046 2178 2189 2232 2388 2728 2904 3069 3582 3751 4092 4356 4378 4776 6138 6169 6567 7164 7502 8184 8712 8756 11253 12276 12338 13134 14328 15004 17512 18507 19701 22506 24079 24552 24676 26268 30008 33759 37014 39402 45012 48158 49352 52536 55521 67518 67859 72237 74028 78804 90024 96316 111042 135036 135718 144474 148056 157608 192632 203577 216711 222084 270072 271436 288948 407154 433422 444168 542872 577896 610731 746449 814308 866844 1221462 1492898 1628616 1733688 2239347 2442924 2985796 4478694 4885848 5971592 6718041 8957388 13436082 17914776 26872164 53744328