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52379136 = 2935421
BaseRepresentation
bin1100011111001…
…1111000000000
310122120010200000
43013303320000
5101402113021
65110400000
71204133565
oct307637000
9118503600
1052379136
1127626247
1215660000
13ab0c294
146d5686c
1548e9b26
hex31f3e00

52379136 has 120 divisors (see below), whose sum is σ = 157140984. Its totient is φ = 17418240.

The previous prime is 52379123. The next prime is 52379137. The reversal of 52379136 is 63197325.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 52379136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52379137) 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, 124206 + ... + 124626.

Almost surely, 252379136 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 52379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78570492).

52379136 is an abundant number, since it is smaller than the sum of its proper divisors (104761848).

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

52379136 is an frugal number, since it uses more digits than its factorization.

52379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 426 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 52379136 is about 7237.3431589223. The cubic root of 52379136 is about 374.1560541057.

The spelling of 52379136 in words is "fifty-two million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 421 432 486 512 576 648 768 842 864 972 1152 1263 1296 1536 1684 1728 1944 2304 2526 2592 3368 3456 3789 3888 4608 5052 5184 6736 6912 7578 7776 10104 10368 11367 13472 13824 15156 15552 20208 20736 22734 26944 30312 31104 34101 40416 41472 45468 53888 60624 62208 68202 80832 90936 102303 107776 121248 124416 136404 161664 181872 204606 215552 242496 272808 323328 363744 409212 484992 545616 646656 727488 818424 969984 1091232 1454976 1636848 1939968 2182464 2909952 3273696 4364928 5819904 6547392 8729856 13094784 17459712 26189568 52379136