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54713480 = 2351724733
BaseRepresentation
bin1101000010110…
…1110010001000
310210221201210012
43100231302020
5103001312410
65232411052
71233025343
oct320556210
9123851705
1054713480
1128980058
12163a6a88
13b448953
1473a345a
154c0b605
hex342dc88

54713480 has 48 divisors (see below), whose sum is σ = 130800420. Its totient is φ = 20593664.

The previous prime is 54713471. The next prime is 54713489. The reversal of 54713480 is 8431745.

It is an interprime number because it is at equal distance from previous prime (54713471) and next prime (54713489).

It can be written as a sum of positive squares in 6 ways, for example, as 30052324 + 24661156 = 5482^2 + 4966^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54713489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9194 + ... + 13926.

Almost surely, 254713480 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 54713480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65400210).

54713480 is an abundant number, since it is smaller than the sum of its proper divisors (76086940).

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

54713480 is a wasteful number, since it uses less digits than its factorization.

54713480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 54713480 is about 7396.8560889070. The cubic root of 54713480 is about 379.6337190785.

The spelling of 54713480 in words is "fifty-four million, seven hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 4733 5780 9466 11560 18932 23665 37864 47330 80461 94660 160922 189320 321844 402305 643688 804610 1367837 1609220 2735674 3218440 5471348 6839185 10942696 13678370 27356740 54713480