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73194144 = 2532961431
BaseRepresentation
bin1000101110011…
…01101010100000
312002201122111020
410113031222200
5122214203034
611132445440
71546066002
oct427155240
9162648436
1073194144
1138352931
1220619880
131221965a
149a14372
15665c249
hex45cdaa0

73194144 has 96 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 23116800.

The previous prime is 73194139. The next prime is 73194151. The reversal of 73194144 is 44149137.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169609 + ... + 170039.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 273194144 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 73194144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

73194144 is an abundant number, since it is smaller than the sum of its proper divisors (129292896).

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

73194144 is a wasteful number, since it uses less digits than its factorization.

73194144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 73194144 is about 8555.3576196440. The cubic root of 73194144 is about 418.3040910480.

The spelling of 73194144 in words is "seventy-three million, one hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 87 96 116 122 174 183 232 244 348 366 431 464 488 696 732 862 928 976 1293 1392 1464 1724 1769 1952 2586 2784 2928 3448 3538 5172 5307 5856 6896 7076 10344 10614 12499 13792 14152 20688 21228 24998 26291 28304 37497 41376 42456 49996 52582 56608 74994 78873 84912 99992 105164 149988 157746 169824 199984 210328 299976 315492 399968 420656 599952 630984 762439 841312 1199904 1261968 1524878 2287317 2523936 3049756 4574634 6099512 9149268 12199024 18298536 24398048 36597072 73194144