Search a number
-
+
52749120 = 2635232389
BaseRepresentation
bin1100100100111…
…0001101000000
310200020221012010
43021032031000
5102000432440
65122332520
71210234344
oct311161500
9120227163
1052749120
1127859216
12157ba140
13ac0b7c8
147011624
15496e580
hex324e340

52749120 has 112 divisors (see below), whose sum is σ = 174833280. Its totient is φ = 13449216.

The previous prime is 52749119. The next prime is 52749131. The reversal of 52749120 is 2194725.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20886 + ... + 23274.

Almost surely, 252749120 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 52749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87416640).

52749120 is an abundant number, since it is smaller than the sum of its proper divisors (122084160).

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

52749120 is a wasteful number, since it uses less digits than its factorization.

52749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 52749120 is about 7262.8589412159. The cubic root of 52749120 is about 375.0349478541.

The spelling of 52749120 in words is "fifty-two million, seven hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2389 2760 3680 4416 4778 5520 7167 7360 9556 11040 11945 14334 19112 22080 23890 28668 35835 38224 47780 54947 57336 71670 76448 95560 109894 114672 143340 152896 164841 191120 219788 229344 274735 286680 329682 382240 439576 458688 549470 573360 659364 764480 824205 879152 1098940 1146720 1318728 1648410 1758304 2197880 2293440 2637456 3296820 3516608 4395760 5274912 6593640 8791520 10549824 13187280 17583040 26374560 52749120