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73042398 = 23511131051
BaseRepresentation
bin1000101101010…
…00100111011110
312002102221100000
410112220213132
5122144324043
611125315130
71544564412
oct426504736
9162387300
1073042398
1138259920
1220565aa6
1312195570
1499b4d42
15662c2d3
hex45a89de

73042398 has 96 divisors (see below), whose sum is σ = 192995712. Its totient is φ = 20412000.

The previous prime is 73042379. The next prime is 73042429. The reversal of 73042398 is 89324037.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68973 + ... + 70023.

It is an arithmetic number, because the mean of its divisors is an integer number (2010372).

Almost surely, 273042398 is an apocalyptic number.

73042398 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73042398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96497856).

73042398 is an abundant number, since it is smaller than the sum of its proper divisors (119953314).

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

73042398 is a wasteful number, since it uses less digits than its factorization.

73042398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 73042398 is about 8546.4845404412. The cubic root of 73042398 is about 418.0148152224.

The spelling of 73042398 in words is "seventy-three million, forty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 858 891 1051 1053 1287 1782 2102 2106 2574 2673 3153 3159 3861 5346 6306 6318 7722 9459 11561 11583 13663 18918 23122 23166 27326 28377 34683 34749 40989 56754 69366 69498 81978 85131 104049 122967 150293 170262 208098 245934 255393 300586 312147 368901 450879 510786 624294 737802 901758 936441 1106703 1352637 1872882 2213406 2705274 2809323 3320109 4057911 5618646 6640218 8115822 12173733 24347466 36521199 73042398