Search a number
-
+
502530048 = 2183371
BaseRepresentation
bin11101111101000…
…000000000000000
31022000121011122000
4131331000000000
52012121430143
6121510544000
715311302116
oct3575000000
91260534560
10502530048
11238735299
12120368000
138015c877
144aa53ab6
152e1b7bd3
hex1df40000

502530048 has 152 divisors (see below), whose sum is σ = 1509946560. Its totient is φ = 165150720.

The previous prime is 502530037. The next prime is 502530073. The reversal of 502530048 is 840035205.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7077853 + ... + 7077923.

Almost surely, 2502530048 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 502530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754973280).

502530048 is an abundant number, since it is smaller than the sum of its proper divisors (1007416512).

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

502530048 is an frugal number, since it uses more digits than its factorization.

502530048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 502530048 is about 22417.1819816854. The cubic root of 502530048 is about 795.0370078892.

The spelling of 502530048 in words is "five hundred two million, five hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 256 284 288 384 426 432 512 568 576 639 768 852 864 1024 1136 1152 1278 1536 1704 1728 1917 2048 2272 2304 2556 3072 3408 3456 3834 4096 4544 4608 5112 6144 6816 6912 7668 8192 9088 9216 10224 12288 13632 13824 15336 16384 18176 18432 20448 24576 27264 27648 30672 32768 36352 36864 40896 49152 54528 55296 61344 65536 72704 73728 81792 98304 109056 110592 122688 131072 145408 147456 163584 196608 218112 221184 245376 262144 290816 294912 327168 393216 436224 442368 490752 581632 589824 654336 786432 872448 884736 981504 1163264 1179648 1308672 1744896 1769472 1963008 2326528 2359296 2617344 3489792 3538944 3926016 4653056 5234688 6979584 7077888 7852032 9306112 10469376 13959168 15704064 18612224 20938752 27918336 31408128 41877504 55836672 62816256 83755008 125632512 167510016 251265024 502530048