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52998384 = 24317107607
BaseRepresentation
bin1100101000101…
…1000011110000
310200201121010010
43022023003300
5102031422014
65131534520
71212323145
oct312130360
9120647103
1052998384
1127a0951a
12158ba440
13ac980ba
1470783cc
1549bd359
hex328b0f0

52998384 has 80 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 16444416.

The previous prime is 52998373. The next prime is 52998389. The reversal of 52998384 is 48389925.

It is a super-2 number, since 2×529983842 = 5617657413222912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52998389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87009 + ... + 87615.

Almost surely, 252998384 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 52998384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

52998384 is an abundant number, since it is smaller than the sum of its proper divisors (93563664).

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

52998384 is a wasteful number, since it uses less digits than its factorization.

52998384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 52998384 is about 7279.9989010988. The cubic root of 52998384 is about 375.6247576740.

The spelling of 52998384 in words is "fifty-two million, nine hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 107 136 204 214 272 321 408 428 607 642 816 856 1214 1284 1712 1819 1821 2428 2568 3638 3642 4856 5136 5457 7276 7284 9712 10319 10914 14552 14568 20638 21828 29104 29136 30957 41276 43656 61914 64949 82552 87312 123828 129898 165104 194847 247656 259796 389694 495312 519592 779388 1039184 1104133 1558776 2208266 3117552 3312399 4416532 6624798 8833064 13249596 17666128 26499192 52998384