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401246440 = 235710913147
BaseRepresentation
bin10111111010101…
…000100011101000
31000222000102122021
4113322220203220
51310204341230
6103452034224
712641352460
oct2772504350
91028012567
10401246440
11196547431
12b2462974
1365189a3a
143b40aba0
152535cc7a
hex17ea88e8

401246440 has 64 divisors (see below), whose sum is σ = 1041321600. Its totient is φ = 136297728.

The previous prime is 401246413. The next prime is 401246479. The reversal of 401246440 is 44642104.

It is a super-2 number, since 2×4012464402 = 321997411225347200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23947 + ... + 37093.

It is an arithmetic number, because the mean of its divisors is an integer number (16270650).

Almost surely, 2401246440 is an apocalyptic number.

401246440 is a gapful number since it is divisible by the number (40) 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 401246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520660800).

401246440 is an abundant number, since it is smaller than the sum of its proper divisors (640075160).

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

401246440 is a wasteful number, since it uses less digits than its factorization.

401246440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 401246440 is about 20031.1367625504. The cubic root of 401246440 is about 737.5708268663.

Adding to 401246440 its reverse (44642104), we get a palindrome (445888544).

It can be divided in two parts, 40124 and 6440, that added together give a palindrome (46564).

The spelling of 401246440 in words is "four hundred one million, two hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 545 763 872 1090 1526 2180 3052 3815 4360 6104 7630 13147 15260 26294 30520 52588 65735 92029 105176 131470 184058 262940 368116 460145 525880 736232 920290 1433023 1840580 2866046 3681160 5732092 7165115 10031161 11464184 14330230 20062322 28660460 40124644 50155805 57320920 80249288 100311610 200623220 401246440