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172405248 = 2931071049
BaseRepresentation
bin10100100011010…
…11001000000000
3110000102002112120
422101223020000
5323113431443
625035124240
74162264131
oct1221531000
9400362476
10172405248
1189355684
12498a3680
1329945052
1418c7bc88
1510208083
hexa46b200

172405248 has 80 divisors (see below), whose sum is σ = 464032800. Its totient is φ = 56877056.

The previous prime is 172405231. The next prime is 172405267. The reversal of 172405248 is 842504271.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163828 + ... + 164876.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2172405248 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 172405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232016400).

172405248 is an abundant number, since it is smaller than the sum of its proper divisors (291627552).

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

172405248 is a wasteful number, since it uses less digits than its factorization.

172405248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 172405248 is about 13130.3178940953. The cubic root of 172405248 is about 556.5661985767.

The spelling of 172405248 in words is "one hundred seventy-two million, four hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1049 1284 1536 1712 2098 2568 3147 3424 4196 5136 6294 6848 8392 10272 12588 13696 16784 20544 25176 27392 33568 41088 50352 54784 67136 82176 100704 112243 134272 164352 201408 224486 268544 336729 402816 448972 537088 673458 805632 897944 1346916 1611264 1795888 2693832 3591776 5387664 7183552 10775328 14367104 21550656 28734208 43101312 57468416 86202624 172405248