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1483846452 = 2235111371013
BaseRepresentation
bin101100001110001…
…1011001100110100
310211102010012200000
41120130123030310
511014331041302
6403123551300
751525325644
oct13034331464
93742105600
101483846452
116a1657890
12354b2b530
131a855786a
141010da524
158a40831c
hex5871b334

1483846452 has 144 divisors (see below), whose sum is σ = 4278560832. Its totient is φ = 445927680.

The previous prime is 1483846433. The next prime is 1483846453. The reversal of 1483846452 is 2546483841.

It is a super-2 number, since 2×14838464522 = 4403600586225976608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1483846398 and 1483846407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1483846453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1464298 + ... + 1465310.

It is an arithmetic number, because the mean of its divisors is an integer number (29712228).

Almost surely, 21483846452 is an apocalyptic number.

1483846452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483846452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139280416).

1483846452 is an abundant number, since it is smaller than the sum of its proper divisors (2794714380).

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

1483846452 is a wasteful number, since it uses less digits than its factorization.

1483846452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1166 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 1483846452 is about 38520.7275632224. The cubic root of 1483846452 is about 1140.5902483559.

The spelling of 1483846452 in words is "one billion, four hundred eighty-three million, eight hundred forty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 137 162 198 243 274 297 324 396 411 486 548 594 822 891 972 1013 1188 1233 1507 1644 1782 2026 2466 2673 3014 3039 3564 3699 4052 4521 4932 5346 6028 6078 7398 9042 9117 10692 11097 11143 12156 13563 14796 18084 18234 22194 22286 27126 27351 33291 33429 36468 40689 44388 44572 54252 54702 66582 66858 81378 82053 100287 109404 122067 133164 133716 138781 162756 164106 200574 244134 246159 277562 300861 328212 366201 401148 416343 488268 492318 555124 601722 732402 832686 902583 984636 1203444 1249029 1464804 1526591 1665372 1805166 2498058 2707749 3053182 3610332 3747087 4579773 4996116 5415498 6106364 7494174 9159546 10830996 11241261 13739319 14988348 18319092 22482522 27478638 33723783 41217957 44965044 54957276 67447566 82435914 123653871 134895132 164871828 247307742 370961613 494615484 741923226 1483846452