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1125893376 = 28321074567
BaseRepresentation
bin100001100011011…
…1100010100000000
32220110120022100200
41003012330110000
54301212042001
6303415445200
736620635656
oct10306742400
92813508320
101125893376
115285a03a3
12275086800
1314c3486ca
14a975cdd6
1568c9d086
hex431bc500

1125893376 has 108 divisors (see below), whose sum is σ = 3277284192. Its totient is φ = 371708928.

The previous prime is 1125893347. The next prime is 1125893383. The reversal of 1125893376 is 6733985211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244245 + ... + 248811.

It is an arithmetic number, because the mean of its divisors is an integer number (30345224).

Almost surely, 21125893376 is an apocalyptic number.

1125893376 is a gapful number since it is divisible by the number (16) 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 1125893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638642096).

1125893376 is an abundant number, since it is smaller than the sum of its proper divisors (2151390816).

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

1125893376 is a wasteful number, since it uses less digits than its factorization.

1125893376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4679 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1125893376 is about 33554.3346827202. The cubic root of 1125893376 is about 1040.3171419384.

The spelling of 1125893376 in words is "one billion, one hundred twenty-five million, eight hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 576 642 768 856 963 1152 1284 1712 1926 2304 2568 3424 3852 4567 5136 6848 7704 9134 10272 13696 13701 15408 18268 20544 27392 27402 30816 36536 41088 41103 54804 61632 73072 82176 82206 109608 123264 146144 164412 219216 246528 292288 328824 438432 488669 584576 657648 876864 977338 1169152 1315296 1466007 1753728 1954676 2630592 2932014 3507456 3909352 4398021 5261184 5864028 7818704 8796042 10522368 11728056 15637408 17592084 23456112 31274816 35184168 46912224 62549632 70368336 93824448 125099264 140736672 187648896 281473344 375297792 562946688 1125893376