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116452448 = 2571753577
BaseRepresentation
bin1101111000011…
…10110001100000
322010010101201122
412330032301200
5214302434243
615315551412
72612554340
oct674166140
9263111648
10116452448
115a8094a2
1232bbb568
131b184298
1411674d20
15a354668
hex6f0ec60

116452448 has 96 divisors (see below), whose sum is σ = 283155264. Its totient is φ = 46006272.

The previous prime is 116452421. The next prime is 116452459. The reversal of 116452448 is 844254611.

It is a super-2 number, since 2×1164524482 = 27122345290385408, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201536 + ... + 202112.

It is an arithmetic number, because the mean of its divisors is an integer number (2949534).

Almost surely, 2116452448 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 116452448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141577632).

116452448 is an abundant number, since it is smaller than the sum of its proper divisors (166702816).

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

116452448 is a wasteful number, since it uses less digits than its factorization.

116452448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 116452448 is about 10791.3135437721. The cubic root of 116452448 is about 488.3331506352. Note that the first 3 decimals are identical.

The spelling of 116452448 in words is "one hundred sixteen million, four hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 53 56 68 106 112 119 136 212 224 238 272 371 424 476 544 577 742 848 901 952 1154 1484 1696 1802 1904 2308 2968 3604 3808 4039 4616 5936 6307 7208 8078 9232 9809 11872 12614 14416 16156 18464 19618 25228 28832 30581 32312 39236 50456 61162 64624 68663 78472 100912 122324 129248 137326 156944 201824 214067 244648 274652 313888 428134 489296 519877 549304 856268 978592 1039754 1098608 1712536 2079508 2197216 3425072 3639139 4159016 6850144 7278278 8318032 14556556 16636064 29113112 58226224 116452448