Search a number
-
+
5196352 = 26721657
BaseRepresentation
bin10011110100101001000000
3100210000001111
4103310221000
52312240402
6303213104
762111500
oct23645100
910700044
105196352
112a2a107
1218a7194
1310cc285
14993a00
156c99d7
hex4f4a40

5196352 has 42 divisors (see below), whose sum is σ = 12002262. Its totient is φ = 2225664.

The previous prime is 5196343. The next prime is 5196361. The reversal of 5196352 is 2536915.

It is an interprime number because it is at equal distance from previous prime (5196343) and next prime (5196361).

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 1132096 = 2016^2 + 1064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2308 + ... + 3964.

Almost surely, 25196352 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 5196352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001131).

5196352 is an abundant number, since it is smaller than the sum of its proper divisors (6805910).

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

5196352 is a wasteful number, since it uses less digits than its factorization.

5196352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1666 counting only the distinct ones).

The product of its digits is 8100, while the sum is 31.

The square root of 5196352 is about 2279.5508329493. The cubic root of 5196352 is about 173.2072982540.

The spelling of 5196352 in words is "five million, one hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 1657 3136 3314 6628 11599 13256 23198 26512 46396 53024 81193 92792 106048 162386 185584 324772 371168 649544 742336 1299088 2598176 5196352