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400043112 = 233737139463
BaseRepresentation
bin10111110110000…
…010110001101000
31000212202021222120
4113312002301220
51304402334422
6103410151240
712625211310
oct2766026150
91025667876
10400043112
111958a5347
12b1b82520
1364b58101
143b1b6440
15251c145c
hex17d82c68

400043112 has 128 divisors (see below), whose sum is σ = 1184870400. Its totient is φ = 110170368.

The previous prime is 400043101. The next prime is 400043113. The reversal of 400043112 is 211340004.

It is a junction number, because it is equal to n+sod(n) for n = 400043091 and 400043100.

It is not an unprimeable number, because it can be changed into a prime (400043113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863793 + ... + 864255.

It is an arithmetic number, because the mean of its divisors is an integer number (9256800).

Almost surely, 2400043112 is an apocalyptic number.

400043112 is a gapful number since it is divisible by the number (42) 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 400043112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592435200).

400043112 is an abundant number, since it is smaller than the sum of its proper divisors (784827288).

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

400043112 is a wasteful number, since it uses less digits than its factorization.

400043112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400043112 is about 20001.0777709602. The cubic root of 400043112 is about 736.8327697714.

Adding to 400043112 its reverse (211340004), we get a palindrome (611383116).

The spelling of 400043112 in words is "four hundred million, forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 139 148 168 222 259 278 296 417 444 463 518 556 777 834 888 926 973 1036 1112 1389 1554 1668 1852 1946 2072 2778 2919 3108 3241 3336 3704 3892 5143 5556 5838 6216 6482 7784 9723 10286 11112 11676 12964 15429 17131 19446 20572 23352 25928 30858 34262 36001 38892 41144 51393 61716 64357 68524 72002 77784 102786 108003 119917 123432 128714 137048 144004 193071 205572 216006 239834 257428 288008 359751 386142 411144 432012 450499 479668 514856 719502 772284 864024 900998 959336 1351497 1439004 1544568 1801996 2381209 2702994 2878008 3603992 4762418 5405988 7143627 9524836 10811976 14287254 16668463 19049672 28574508 33336926 50005389 57149016 66673852 100010778 133347704 200021556 400043112