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73269248 = 2171343
BaseRepresentation
bin1000101111000…
…00000000000000
312002212110111212
410113200000000
5122224103443
611134225252
71546530653
oct427400000
9162773455
1073269248
11383a42a8
1220655228
13122448b0
149a3389a
156674618
hex45e0000

73269248 has 72 divisors (see below), whose sum is σ = 161480088. Its totient is φ = 33030144.

The previous prime is 73269247. The next prime is 73269271. The reversal of 73269248 is 84296237.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73269247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1703915 + ... + 1703957.

It is an arithmetic number, because the mean of its divisors is an integer number (2242779).

Almost surely, 273269248 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 73269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80740044).

73269248 is an abundant number, since it is smaller than the sum of its proper divisors (88210840).

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

73269248 is an frugal number, since it uses more digits than its factorization.

73269248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 73269248 is about 8559.7457906178. The cubic root of 73269248 is about 418.4471151093.

The spelling of 73269248 in words is "seventy-three million, two hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 512 559 688 832 1024 1118 1376 1664 2048 2236 2752 3328 4096 4472 5504 6656 8192 8944 11008 13312 16384 17888 22016 26624 32768 35776 44032 53248 65536 71552 88064 106496 131072 143104 176128 212992 286208 352256 425984 572416 704512 851968 1144832 1409024 1703936 2289664 2818048 4579328 5636096 9158656 18317312 36634624 73269248