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172900494 = 234131929149
BaseRepresentation
bin10100100111001…
…00000010001110
3110001100020220000
422103210002032
5323230303434
625053505130
74166426034
oct1223440216
9401306800
10172900494
1189663778
1249aa21a6
1329a895b0
1418d6a554
15102a4b99
hexa4e408e

172900494 has 160 divisors (see below), whose sum is σ = 457380000. Its totient is φ = 48335616.

The previous prime is 172900493. The next prime is 172900501. The reversal of 172900494 is 494009271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172900493) 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 79 ways as a sum of consecutive naturals, for example, 1160332 + ... + 1160480.

It is an arithmetic number, because the mean of its divisors is an integer number (2858625).

Almost surely, 2172900494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172900494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228690000).

172900494 is an abundant number, since it is smaller than the sum of its proper divisors (284479506).

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

172900494 is a wasteful number, since it uses less digits than its factorization.

172900494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 172900494 is about 13149.1632433399. The cubic root of 172900494 is about 557.0986140691.

The spelling of 172900494 in words is "one hundred seventy-two million, nine hundred thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 29 38 39 54 57 58 78 81 87 114 117 149 162 171 174 234 247 261 298 342 351 377 447 494 513 522 551 702 741 754 783 894 1026 1053 1102 1131 1341 1482 1539 1566 1653 1937 2106 2223 2262 2349 2682 2831 3078 3306 3393 3874 4023 4321 4446 4698 4959 5662 5811 6669 6786 7163 8046 8493 8642 9918 10179 11622 12069 12963 13338 14326 14877 16986 17433 20007 20358 21489 24138 25479 25926 29754 30537 34866 36803 38889 40014 42978 44631 50958 52299 56173 61074 64467 73606 76437 77778 82099 89262 104598 110409 112346 116667 128934 152874 156897 164198 168519 193401 220818 229311 233334 246297 313794 331227 337038 350001 386802 458622 492594 505557 580203 662454 700002 738891 993681 1011114 1067287 1160406 1477782 1516671 1987362 2134574 2216673 2981043 3033342 3201861 4433346 4550013 5962086 6403722 6650019 9100026 9605583 13300038 19211166 28816749 57633498 86450247 172900494