Search a number
-
+
54538440 = 23351179523
BaseRepresentation
bin1101000000001…
…1000011001000
310210121211200020
43100003003020
5102430212230
65224540440
71231366125
oct320030310
9123554606
1054538440
11288705a0
1216321720
13b3b7088
14735974c
154bc4810
hex34030c8

54538440 has 128 divisors (see below), whose sum is σ = 181094400. Its totient is φ = 13029120.

The previous prime is 54538439. The next prime is 54538459. The reversal of 54538440 is 4483545.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104019 + ... + 104541.

It is an arithmetic number, because the mean of its divisors is an integer number (1414800).

Almost surely, 254538440 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 54538440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90547200).

54538440 is an abundant number, since it is smaller than the sum of its proper divisors (126555960).

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

54538440 is a wasteful number, since it uses less digits than its factorization.

54538440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 54538440 is about 7385.0145565192. The cubic root of 54538440 is about 379.2284437173.

The spelling of 54538440 in words is "fifty-four million, five hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 523 632 660 790 869 948 1046 1185 1320 1569 1580 1738 1896 2092 2370 2607 2615 3138 3160 3476 4184 4345 4740 5214 5230 5753 6276 6952 7845 8690 9480 10428 10460 11506 12552 13035 15690 17259 17380 20856 20920 23012 26070 28765 31380 34518 34760 41317 46024 52140 57530 62760 69036 82634 86295 104280 115060 123951 138072 165268 172590 206585 230120 247902 330536 345180 413170 454487 495804 619755 690360 826340 908974 991608 1239510 1363461 1652680 1817948 2272435 2479020 2726922 3635896 4544870 4958040 5453844 6817305 9089740 10907688 13634610 18179480 27269220 54538440