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172839480 = 233511235693
BaseRepresentation
bin10100100110101…
…01001000111000
3110001020011012020
422103111020320
5323221330410
625052314440
74166053122
oct1223251070
9401204166
10172839480
1189621950
1249a72a20
1329a678a8
1418d52212
1510291a70
hexa4d5238

172839480 has 128 divisors (see below), whose sum is σ = 590353920. Its totient is φ = 40071680.

The previous prime is 172839463. The next prime is 172839481. The reversal of 172839480 is 84938271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172839481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27514 + ... + 33206.

It is an arithmetic number, because the mean of its divisors is an integer number (4612140).

Almost surely, 2172839480 is an apocalyptic number.

172839480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172839480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295176960).

172839480 is an abundant number, since it is smaller than the sum of its proper divisors (417514440).

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

172839480 is a wasteful number, since it uses less digits than its factorization.

172839480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 172839480 is about 13146.8429670397. The cubic root of 172839480 is about 557.0330757680.

The spelling of 172839480 in words is "one hundred seventy-two million, eight hundred thirty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 5693 6072 7590 10120 11386 15180 17079 22772 28465 30360 34158 45544 56930 62623 68316 85395 113860 125246 130939 136632 170790 187869 227720 250492 261878 313115 341580 375738 392817 500984 523756 626230 654695 683160 751476 785634 939345 1047512 1252460 1309390 1440329 1502952 1571268 1878690 1964085 2504920 2618780 2880658 3142536 3757380 3928170 4320987 5237560 5761316 7201645 7514760 7856340 8641974 11522632 14403290 15712680 17283948 21604935 28806580 34567896 43209870 57613160 86419740 172839480