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1125648192 = 26331379499
BaseRepresentation
bin100001100011000…
…0000011101000000
32220110002212000210
41003012000131000
54301131220232
6303410314120
736615565104
oct10306003500
92813085023
101125648192
11528443169
12274b88940
1314c290c26
14a96d7904
1568c505cc
hex43180740

1125648192 has 112 divisors (see below), whose sum is σ = 3088640000. Its totient is φ = 361428480.

The previous prime is 1125648191. The next prime is 1125648211. The reversal of 1125648192 is 2918465211.

It is a self number, because there is not a number n which added to its sum of digits gives 1125648192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125648191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2255559 + ... + 2256057.

Almost surely, 21125648192 is an apocalyptic number.

1125648192 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 1125648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544320000).

1125648192 is an abundant number, since it is smaller than the sum of its proper divisors (1962991808).

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

1125648192 is a wasteful number, since it uses less digits than its factorization.

1125648192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 914 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 1125648192 is about 33550.6809468899. The cubic root of 1125648192 is about 1040.2416203892.

The spelling of 1125648192 in words is "one billion, one hundred twenty-five million, six hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 379 496 499 744 758 992 998 1137 1488 1497 1516 1984 1996 2274 2976 2994 3032 3992 4548 5952 5988 6064 7984 9096 11749 11976 12128 15469 15968 18192 23498 23952 24256 30938 31936 35247 36384 46407 46996 47904 61876 70494 72768 92814 93992 95808 123752 140988 185628 187984 189121 247504 281976 371256 375968 378242 495008 563952 567363 742512 751936 756484 990016 1127904 1134726 1485024 1512968 2255808 2269452 2970048 3025936 4538904 5862751 6051872 9077808 11725502 12103744 17588253 18155616 23451004 35176506 36311232 46902008 70353012 93804016 140706024 187608032 281412048 375216064 562824096 1125648192