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5296032 = 253273771
BaseRepresentation
bin10100001100111110100000
3100222001210100
4110030332200
52323433112
6305302400
763005220
oct24147640
910861710
105296032
112a97a95
121934a00
131135761
149bc080
156e92dc
hex50cfa0

5296032 has 144 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1451520.

The previous prime is 5296021. The next prime is 5296037. The reversal of 5296032 is 2306925.

5296032 is a `hidden beast` number, since 52 + 9 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5295987 and 5296005.

It is not an unprimeable number, because it can be changed into a prime (5296037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74557 + ... + 74627.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 25296032 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 5296032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5296032 is an abundant number, since it is smaller than the sum of its proper divisors (12630240).

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

5296032 is a wasteful number, since it uses less digits than its factorization.

5296032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5296032 is about 2301.3109307523. The cubic root of 5296032 is about 174.3078181868.

It can be divided in two parts, 529 and 6032, that added together give a 8-th power (6561 = 38).

The spelling of 5296032 in words is "five million, two hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 71 72 74 84 96 111 112 126 142 144 148 168 213 222 224 252 259 284 288 296 333 336 426 444 497 504 518 568 592 639 666 672 777 852 888 994 1008 1036 1136 1184 1278 1332 1491 1554 1704 1776 1988 2016 2072 2272 2331 2556 2627 2664 2982 3108 3408 3552 3976 4144 4473 4662 5112 5254 5328 5964 6216 6816 7881 7952 8288 8946 9324 10224 10508 10656 11928 12432 15762 15904 17892 18389 18648 20448 21016 23643 23856 24864 31524 35784 36778 37296 42032 47286 47712 55167 63048 71568 73556 74592 84064 94572 110334 126096 143136 147112 165501 189144 220668 252192 294224 331002 378288 441336 588448 662004 756576 882672 1324008 1765344 2648016 5296032