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5212032 = 27372277
BaseRepresentation
bin10011111000011110000000
3100210210120020
4103320132000
52313241112
6303413440
762205300
oct23703600
910723506
105212032
112a3a971
1218b4280
131106457
14999600
156ce48c
hex4f8780

5212032 has 96 divisors (see below), whose sum is σ = 16162920. Its totient is φ = 1483776.

The previous prime is 5212027. The next prime is 5212033. The reversal of 5212032 is 2302125.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5212033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18678 + ... + 18954.

Almost surely, 25212032 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 5212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081460).

5212032 is an abundant number, since it is smaller than the sum of its proper divisors (10950888).

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

5212032 is a wasteful number, since it uses less digits than its factorization.

5212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5212032 is about 2282.9875163916. The cubic root of 5212032 is about 173.3813410743.

Adding to 5212032 its reverse (2302125), we get a palindrome (7514157).

The spelling of 5212032 in words is "five million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 277 294 336 384 392 448 554 588 672 784 831 896 1108 1176 1344 1568 1662 1939 2216 2352 2688 3136 3324 3878 4432 4704 5817 6272 6648 7756 8864 9408 11634 13296 13573 15512 17728 18816 23268 26592 27146 31024 35456 40719 46536 53184 54292 62048 81438 93072 106368 108584 124096 162876 186144 217168 248192 325752 372288 434336 651504 744576 868672 1303008 1737344 2606016 5212032