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8097152 = 27721291
BaseRepresentation
bin11110111000110110000000
3120020101012112
4132320312000
54033102102
6445314452
7125552600
oct36706600
916211175
108097152
114630568
122865a28
1318a671b
14110ac00
15a9e252
hex7b8d80

8097152 has 48 divisors (see below), whose sum is σ = 18779220. Its totient is φ = 3467520.

The previous prime is 8097143. The next prime is 8097161. The reversal of 8097152 is 2517908.

It is an interprime number because it is at equal distance from previous prime (8097143) and next prime (8097161).

It is a super-2 number, since 2×80971522 = 131127741022208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 5627 + ... + 6917.

Almost surely, 28097152 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 8097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389610).

8097152 is an abundant number, since it is smaller than the sum of its proper divisors (10682068).

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

8097152 is a wasteful number, since it uses less digits than its factorization.

8097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 8097152 is about 2845.5495075644. The cubic root of 8097152 is about 200.8063446724.

The spelling of 8097152 in words is "eight million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1291 1568 2582 3136 5164 6272 9037 10328 18074 20656 36148 41312 63259 72296 82624 126518 144592 165248 253036 289184 506072 578368 1012144 1156736 2024288 4048576 8097152