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8013152 = 25783431
BaseRepresentation
bin11110100100010101100000
3120002002222102
4132210111200
54022410102
6443425532
7125052650
oct36442540
916062872
108013152
114583444
1228252a8
131877414
1410c8360
15a84402
hex7a4560

8013152 has 48 divisors (see below), whose sum is σ = 18289152. Its totient is φ = 3384960.

The previous prime is 8013151. The next prime is 8013157. The reversal of 8013152 is 2513108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18377 + ... + 18807.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 28013152 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 8013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576).

8013152 is an abundant number, since it is smaller than the sum of its proper divisors (10276000).

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

8013152 is a wasteful number, since it uses less digits than its factorization.

8013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 8013152 is about 2830.7511370659. The cubic root of 8013152 is about 200.1095399940.

The spelling of 8013152 in words is "eight million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 431 581 664 862 1162 1328 1724 2324 2656 3017 3448 4648 6034 6896 9296 12068 13792 18592 24136 35773 48272 71546 96544 143092 250411 286184 500822 572368 1001644 1144736 2003288 4006576 8013152