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540452352 = 29311291103
BaseRepresentation
bin100000001101101…
…010011000000000
31101122221211020210
4200031222120000
52101323433402
6125343434120
716251524556
oct4015523000
91348854223
10540452352
11258086940
12130bb5940
1387c797bb
1451ac5bd6
15326a906c
hex2036a600

540452352 has 160 divisors (see below), whose sum is σ = 1626324480. Its totient is φ = 157982720.

The previous prime is 540452333. The next prime is 540452369. The reversal of 540452352 is 253254045.

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, 489433 + ... + 490535.

It is an arithmetic number, because the mean of its divisors is an integer number (10164528).

Almost surely, 2540452352 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 540452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813162240).

540452352 is an abundant number, since it is smaller than the sum of its proper divisors (1085872128).

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

540452352 is a wasteful number, since it uses less digits than its factorization.

540452352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 540452352 is about 23247.6311051255. The cubic root of 540452352 is about 814.5526052634.

The spelling of 540452352 in words is "five hundred forty million, four hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 256 264 319 348 352 384 464 512 528 638 696 704 768 928 957 1056 1103 1276 1392 1408 1536 1856 1914 2112 2206 2552 2784 2816 3309 3712 3828 4224 4412 5104 5568 5632 6618 7424 7656 8448 8824 10208 11136 12133 13236 14848 15312 16896 17648 20416 22272 24266 26472 30624 31987 35296 36399 40832 44544 48532 52944 61248 63974 70592 72798 81664 95961 97064 105888 122496 127948 141184 145596 163328 191922 194128 211776 244992 255896 282368 291192 351857 383844 388256 423552 489984 511792 564736 582384 703714 767688 776512 847104 1023584 1055571 1164768 1407428 1535376 1553024 1694208 2047168 2111142 2329536 2814856 3070752 3106048 4094336 4222284 4659072 5629712 6141504 6212096 8188672 8444568 9318144 11259424 12283008 16377344 16889136 18636288 22518848 24566016 33778272 45037696 49132032 67556544 90075392 135113088 180150784 270226176 540452352