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73028496 = 24323292281
BaseRepresentation
bin1000101101001…
…01001110010000
312002102020021010
410112211032100
5122143402441
611125130520
71544506032
oct426451620
9162366233
1073028496
113824a432
1220559a40
131218c138
1499adc52
156628116
hex45a5390

73028496 has 80 divisors (see below), whose sum is σ = 203736960. Its totient is φ = 22471680.

The previous prime is 73028477. The next prime is 73028507. The reversal of 73028496 is 69482037.

73028496 = T93 + T94 + ... + T759.

It is a super-2 number, since 2×730284962 = 10666322456044032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30876 + ... + 33156.

It is an arithmetic number, because the mean of its divisors is an integer number (2546712).

Almost surely, 273028496 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 73028496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101868480).

73028496 is an abundant number, since it is smaller than the sum of its proper divisors (130708464).

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

73028496 is a wasteful number, since it uses less digits than its factorization.

73028496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 73028496 is about 8545.6711848748. The cubic root of 73028496 is about 417.9882935909.

The spelling of 73028496 in words is "seventy-three million, twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1104 1334 1392 2001 2281 2668 4002 4562 5336 6843 8004 9124 10672 13686 16008 18248 27372 32016 36496 52463 54744 66149 104926 109488 132298 157389 198447 209852 264596 314778 396894 419704 529192 629556 793788 839408 1058384 1259112 1521427 1587576 2518224 3042854 3175152 4564281 6085708 9128562 12171416 18257124 24342832 36514248 73028496