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54463440 = 2435257883
BaseRepresentation
bin1100111111000…
…0101111010000
310210111000210110
43033300233100
5102420312230
65223201320
71230634353
oct317605720
9123430713
1054463440
112881a209
12162a6240
13b38bbb5
14733a29a
154bac4b0
hex33f0bd0

54463440 has 80 divisors (see below), whose sum is σ = 169685568. Its totient is φ = 14450688.

The previous prime is 54463433. The next prime is 54463441. The reversal of 54463440 is 4436445.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54463398 and 54463407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54463441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61239 + ... + 62121.

Almost surely, 254463440 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 54463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84842784).

54463440 is an abundant number, since it is smaller than the sum of its proper divisors (115222128).

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

54463440 is a wasteful number, since it uses less digits than its factorization.

54463440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 54463440 is about 7379.9349590630. The cubic root of 54463440 is about 379.0545285796.

Adding to 54463440 its reverse (4436445), we get a palindrome (58899885).

The spelling of 54463440 in words is "fifty-four million, four hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 883 1028 1285 1542 1766 2056 2570 2649 3084 3532 3855 4112 4415 5140 5298 6168 7064 7710 8830 10280 10596 12336 13245 14128 15420 17660 20560 21192 26490 30840 35320 42384 52980 61680 70640 105960 211920 226931 453862 680793 907724 1134655 1361586 1815448 2269310 2723172 3403965 3630896 4538620 5446344 6807930 9077240 10892688 13615860 18154480 27231720 54463440