Search a number
-
+
52233984 = 283411229
BaseRepresentation
bin1100011101000…
…0011100000000
310122021202120000
43013100130000
5101332441414
65103320000
71202660445
oct307203400
9118252500
1052233984
1127537190
12155b0000
13aa8b1aa
146d199cc
1548bbb09
hex31d0700

52233984 has 180 divisors, whose sum is σ = 170653560. Its totient is φ = 15759360.

The previous prime is 52233971. The next prime is 52233997. The reversal of 52233984 is 48933225.

It is an interprime number because it is at equal distance from previous prime (52233971) and next prime (52233997).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227982 + ... + 228210.

Almost surely, 252233984 is an apocalyptic number.

52233984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85326780).

52233984 is an abundant number, since it is smaller than the sum of its proper divisors (118419576).

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

52233984 is a wasteful number, since it uses less digits than its factorization.

52233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 52233984 is about 7227.3082126059. The cubic root of 52233984 is about 373.8101164657.

The spelling of 52233984 in words is "fifty-two million, two hundred thirty-three thousand, nine hundred eighty-four".