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73028250 = 2335331349
BaseRepresentation
bin1000101101001…
…01001010011010
312002102012221000
410112211022122
5122143401000
611125125430
71544505231
oct426451232
9162365830
1073028250
113824a229
1220559876
131218bca9
1499adb18
156628000
hex45a529a

73028250 has 128 divisors (see below), whose sum is σ = 209664000. Its totient is φ = 18792000.

The previous prime is 73028231. The next prime is 73028299. The reversal of 73028250 is 5282037.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209076 + ... + 209424.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 273028250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73028250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).

73028250 is an abundant number, since it is smaller than the sum of its proper divisors (136635750).

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

73028250 is a wasteful number, since it uses less digits than its factorization.

73028250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 73028250 is about 8545.6567916106. The cubic root of 73028250 is about 417.9878242525.

The spelling of 73028250 in words is "seventy-three million, twenty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 125 135 150 155 186 225 250 270 279 310 349 375 450 465 558 675 698 750 775 837 930 1047 1125 1350 1395 1550 1674 1745 2094 2250 2325 2790 3141 3375 3490 3875 4185 4650 5235 6282 6750 6975 7750 8370 8725 9423 10470 10819 11625 13950 15705 17450 18846 20925 21638 23250 26175 31410 32457 34875 41850 43625 47115 52350 54095 64914 69750 78525 87250 94230 97371 104625 108190 130875 157050 162285 194742 209250 235575 261750 270475 292113 324570 392625 471150 486855 540950 584226 785250 811425 973710 1177875 1352375 1460565 1622850 2355750 2434275 2704750 2921130 4057125 4868550 7302825 8114250 12171375 14605650 24342750 36514125 73028250