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4542485832 = 233423674549
BaseRepresentation
bin1000011101100000…
…01101010101001000
3102201120111012010000
410032300031111020
533300334021312
62030425123000
7220365330633
oct41660152510
912646435100
104542485832
111a21129925
12a69329460
13575130951
14311408c1a
151b8bd1adc
hex10ec0d548

4542485832 has 160 divisors (see below), whose sum is σ = 13477464000. Its totient is φ = 1426398336.

The previous prime is 4542485791. The next prime is 4542485837. The reversal of 4542485832 is 2385842454.

4542485832 is a `hidden beast` number, since 45 + 4 + 24 + 8 + 583 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4542485837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 996294 + ... + 1000842.

It is an arithmetic number, because the mean of its divisors is an integer number (84234150).

Almost surely, 24542485832 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 4542485832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738732000).

4542485832 is an abundant number, since it is smaller than the sum of its proper divisors (8934978168).

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

4542485832 is a wasteful number, since it uses less digits than its factorization.

4542485832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4644 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The square root of 4542485832 is about 67397.9660820711. The cubic root of 4542485832 is about 1656.1431035753.

The spelling of 4542485832 in words is "four billion, five hundred forty-two million, four hundred eighty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 67 69 72 81 92 108 134 138 162 184 201 207 216 268 276 324 402 414 536 552 603 621 648 804 828 1206 1242 1541 1608 1656 1809 1863 2412 2484 3082 3618 3726 4549 4623 4824 4968 5427 6164 7236 7452 9098 9246 10854 12328 13647 13869 14472 14904 18196 18492 21708 27294 27738 36392 36984 40941 41607 43416 54588 55476 81882 83214 104627 109176 110952 122823 124821 163764 166428 209254 245646 249642 304783 313881 327528 332856 368469 418508 491292 499284 609566 627762 736938 837016 914349 941643 982584 998568 1219132 1255524 1473876 1828698 1883286 2438264 2511048 2743047 2824929 2947752 3657396 3766572 5486094 5649858 7010009 7314792 7533144 8229141 8474787 10972188 11299716 14020018 16458282 16949574 21030027 21944376 22599432 24687423 28040036 32916564 33899148 42060054 49374846 56080072 63090081 65833128 67798296 84120108 98749692 126180162 168240216 189270243 197499384 252360324 378540486 504720648 567810729 757080972 1135621458 1514161944 2271242916 4542485832