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1383966948 = 2237132355103
BaseRepresentation
bin101001001111101…
…1010100011100100
310120110011210202010
41102133122203210
510313243420243
6345155114220
746203345030
oct12237324344
93513153663
101383966948
11650238941
123275a2970
13190956b70
14d1b3b1c0
1581779433
hex527da8e4

1383966948 has 96 divisors (see below), whose sum is σ = 4147347456. Its totient is φ = 349126272.

The previous prime is 1383966937. The next prime is 1383966959. The reversal of 1383966948 is 8496693831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1383966937) and next prime (1383966959).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2436 + ... + 52667.

It is an arithmetic number, because the mean of its divisors is an integer number (43201536).

Almost surely, 21383966948 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 1383966948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073673728).

1383966948 is an abundant number, since it is smaller than the sum of its proper divisors (2763380508).

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

1383966948 is a wasteful number, since it uses less digits than its factorization.

1383966948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55153 (or 55151 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The square root of 1383966948 is about 37201.7062511923. The cubic root of 1383966948 is about 1114.4020597686.

The spelling of 1383966948 in words is "one billion, three hundred eighty-three million, nine hundred sixty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1794 1932 2093 3588 4186 6279 8372 12558 25116 55103 110206 165309 220412 330618 385721 661236 716339 771442 1157163 1267369 1432678 1542884 2149017 2314326 2534738 2865356 3802107 4298034 4628652 5014373 5069476 7604214 8596068 8871583 10028746 15043119 15208428 16475797 17743166 20057492 26614749 30086238 32951594 35486332 49427391 53229498 60172476 65903188 98854782 106458996 115330579 197709564 230661158 345991737 461322316 691983474 1383966948