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73274496 = 2731731103
BaseRepresentation
bin1000101111000…
…01010010000000
312002212201201020
410113201102000
5122224240441
611134305440
71546552161
oct427412200
9162781636
1073274496
11383a8239
1220658280
13122470b9
149a35768
156675e66
hex45e1480

73274496 has 64 divisors (see below), whose sum is σ = 195937920. Its totient is φ = 24261632.

The previous prime is 73274489. The next prime is 73274543. The reversal of 73274496 is 69447237.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65881 + ... + 66983.

It is an arithmetic number, because the mean of its divisors is an integer number (3061530).

Almost surely, 273274496 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 73274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97968960).

73274496 is an abundant number, since it is smaller than the sum of its proper divisors (122663424).

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

73274496 is a wasteful number, since it uses less digits than its factorization.

73274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1281 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 73274496 is about 8560.0523362886. The cubic root of 73274496 is about 418.4571054672.

The spelling of 73274496 in words is "seventy-three million, two hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1103 1384 2076 2206 2768 3309 4152 4412 5536 6618 8304 8824 11072 13236 16608 17648 22144 26472 33216 35296 52944 66432 70592 105888 141184 190819 211776 381638 423552 572457 763276 1144914 1526552 2289828 3053104 4579656 6106208 9159312 12212416 18318624 24424832 36637248 73274496