Search a number
-
+
54923528 = 231119107307
BaseRepresentation
bin1101000110000…
…1000100001000
310211100101220202
43101201010020
5103030023103
65241111332
71234561622
oct321410410
9124311822
1054923528
1129003950
1216488548
13b4c043a
147419c12
154c4d988
hex3461108

54923528 has 64 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 23353920.

The previous prime is 54923443. The next prime is 54923581. The reversal of 54923528 is 82532945.

It is a Harshad number since it is a multiple of its sum of digits (38).

Its product of digits (86400) is a multiple of the sum of its prime factors (450).

It is a junction number, because it is equal to n+sod(n) for n = 54923491 and 54923500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178751 + ... + 179057.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 254923528 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 54923528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

54923528 is an abundant number, since it is smaller than the sum of its proper divisors (64826872).

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

54923528 is a wasteful number, since it uses less digits than its factorization.

54923528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 54923528 is about 7411.0409525248. The cubic root of 54923528 is about 380.1189101550.

The spelling of 54923528 in words is "fifty-four million, nine hundred twenty-three thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 107 152 209 214 307 418 428 614 836 856 1177 1228 1672 2033 2354 2456 3377 4066 4708 5833 6754 8132 9416 11666 13508 16264 22363 23332 27016 32849 44726 46664 64163 65698 89452 128326 131396 178904 256652 262792 361339 513304 624131 722678 1248262 1445356 2496524 2890712 4993048 6865441 13730882 27461764 54923528