Search a number
-
+
85173504 = 2831319449
BaseRepresentation
bin1010001001110…
…10010100000000
312221021021002020
411010322110000
5133301023004
612241321440
72052651153
oct504722400
9187237066
1085173504
1144095129
1224636280
1314852130
14b451c9a
1577268d9
hex513a500

85173504 has 144 divisors (see below), whose sum is σ = 257544000. Its totient is φ = 24772608.

The previous prime is 85173503. The next prime is 85173509. The reversal of 85173504 is 40537158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85173503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189472 + ... + 189920.

It is an arithmetic number, because the mean of its divisors is an integer number (1788500).

Almost surely, 285173504 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 85173504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128772000).

85173504 is an abundant number, since it is smaller than the sum of its proper divisors (172370496).

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

85173504 is a wasteful number, since it uses less digits than its factorization.

85173504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 85173504 is about 9228.9492359640. The cubic root of 85173504 is about 439.9819276324.

It can be divided in two parts, 8517 and 3504, that added together give a palindrome (12021).

The spelling of 85173504 in words is "eighty-five million, one hundred seventy-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 449 456 494 608 624 741 768 832 898 912 988 1216 1248 1347 1482 1664 1796 1824 1976 2432 2496 2694 2964 3328 3592 3648 3952 4864 4992 5388 5837 5928 7184 7296 7904 8531 9984 10776 11674 11856 14368 14592 15808 17062 17511 21552 23348 23712 25593 28736 31616 34124 35022 43104 46696 47424 51186 57472 63232 68248 70044 86208 93392 94848 102372 110903 114944 136496 140088 172416 186784 189696 204744 221806 272992 280176 332709 344832 373568 409488 443612 545984 560352 665418 747136 818976 887224 1091968 1120704 1330836 1494272 1637952 1774448 2183936 2241408 2661672 3275904 3548896 4482816 5323344 6551808 7097792 10646688 14195584 21293376 28391168 42586752 85173504