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52818240 = 2635371487
BaseRepresentation
bin1100100101111…
…1000101000000
310200101110000010
43021133011000
5102010140430
65124024520
71210643016
oct311370500
9120343003
1052818240
11278a6142
1215832140
13ac340c7
14702c8b6
154984cb0
hex325f140

52818240 has 112 divisors (see below), whose sum is σ = 172346112. Its totient is φ = 13694976.

The previous prime is 52818229. The next prime is 52818257. The reversal of 52818240 is 4281825.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52818198 and 52818207.

It is a congruent number.

It is an unprimeable number.

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, 34777 + ... + 36263.

Almost surely, 252818240 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 52818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86173056).

52818240 is an abundant number, since it is smaller than the sum of its proper divisors (119527872).

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

52818240 is a wasteful number, since it uses less digits than its factorization.

52818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 52818240 is about 7267.6158401501. The cubic root of 52818240 is about 375.1986858230.

The spelling of 52818240 in words is "fifty-two million, eight hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1487 1776 2220 2368 2960 2974 3552 4440 4461 5920 5948 7104 7435 8880 8922 11840 11896 14870 17760 17844 22305 23792 29740 35520 35688 44610 47584 55019 59480 71376 89220 95168 110038 118960 142752 165057 178440 220076 237920 275095 285504 330114 356880 440152 475840 550190 660228 713760 825285 880304 1100380 1320456 1427520 1650570 1760608 2200760 2640912 3301140 3521216 4401520 5281824 6602280 8803040 10563648 13204560 17606080 26409120 52818240