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5172480 = 28325449
BaseRepresentation
bin10011101110110100000000
3100201210022100
4103232310000
52311004410
6302510400
761652055
oct23566400
910653270
105172480
112a13185
121895400
1310c1451
1498902c
156c28c0
hex4eed00

5172480 has 108 divisors (see below), whose sum is σ = 17936100. Its totient is φ = 1376256.

The previous prime is 5172473. The next prime is 5172481. The reversal of 5172480 is 842715.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 2663424 = 1584^2 + 1632^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5172481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11296 + ... + 11744.

It is an arithmetic number, because the mean of its divisors is an integer number (166075).

Almost surely, 25172480 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 5172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968050).

5172480 is an abundant number, since it is smaller than the sum of its proper divisors (12763620).

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

5172480 is a wasteful number, since it uses less digits than its factorization.

5172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5172480 is about 2274.3086861726. The cubic root of 5172480 is about 172.9416533947.

The spelling of 5172480 in words is "five million, one hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 449 480 576 640 720 768 898 960 1152 1280 1347 1440 1796 1920 2245 2304 2694 2880 3592 3840 4041 4490 5388 5760 6735 7184 8082 8980 10776 11520 13470 14368 16164 17960 20205 21552 26940 28736 32328 35920 40410 43104 53880 57472 64656 71840 80820 86208 107760 114944 129312 143680 161640 172416 215520 258624 287360 323280 344832 431040 517248 574720 646560 862080 1034496 1293120 1724160 2586240 5172480