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382530048 = 293337739
BaseRepresentation
bin10110110011001…
…111001000000000
3222122210112120120
4112303033020000
51240411430143
6101542540240
712323310645
oct2663171000
9878715516
10382530048
11186a2353a
12a8137680
1361335954
1438b37dcc
15238b2383
hex16ccf200

382530048 has 80 divisors (see below), whose sum is σ = 1023491040. Its totient is φ = 126959616.

The previous prime is 382530023. The next prime is 382530061. The reversal of 382530048 is 840035283.

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, 517263 + ... + 518001.

It is an arithmetic number, because the mean of its divisors is an integer number (12793638).

Almost surely, 2382530048 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 382530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511745520).

382530048 is an abundant number, since it is smaller than the sum of its proper divisors (640960992).

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

382530048 is an equidigital number, since it uses as much as digits as its factorization.

382530048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 382530048 is about 19558.3753926547. The cubic root of 382530048 is about 725.9195928222.

The spelling of 382530048 in words is "three hundred eighty-two million, five hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 337 384 512 674 739 768 1011 1348 1478 1536 2022 2217 2696 2956 4044 4434 5392 5912 8088 8868 10784 11824 16176 17736 21568 23648 32352 35472 43136 47296 64704 70944 86272 94592 129408 141888 172544 189184 249043 258816 283776 378368 498086 517632 567552 747129 996172 1135104 1494258 1992344 2988516 3984688 5977032 7969376 11954064 15938752 23908128 31877504 47816256 63755008 95632512 127510016 191265024 382530048