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400485648 = 243191572797
BaseRepresentation
bin10111110111101…
…110110100010000
31000220120210000210
4113313232310100
51310011020043
6103423444120
712632033433
oct2767566420
91026523023
10400485648
11196077882
12b2156640
1364c81674
143b28d81a
152525c633
hex17deed10

400485648 has 80 divisors (see below), whose sum is σ = 1096368320. Its totient is φ = 125618688.

The previous prime is 400485619. The next prime is 400485713. The reversal of 400485648 is 846584004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141786 + ... + 144582.

It is an arithmetic number, because the mean of its divisors is an integer number (13704604).

Almost surely, 2400485648 is an apocalyptic number.

400485648 is a gapful number since it is divisible by the number (48) 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 400485648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548184160).

400485648 is an abundant number, since it is smaller than the sum of its proper divisors (695882672).

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

400485648 is a wasteful number, since it uses less digits than its factorization.

400485648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 400485648 is about 20012.1375170170. The cubic root of 400485648 is about 737.1043695513.

The spelling of 400485648 in words is "four hundred million, four hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 157 228 304 314 456 471 628 912 942 1256 1884 2512 2797 2983 3768 5594 5966 7536 8391 8949 11188 11932 16782 17898 22376 23864 33564 35796 44752 47728 53143 67128 71592 106286 134256 143184 159429 212572 318858 425144 439129 637716 850288 878258 1275432 1317387 1756516 2550864 2634774 3513032 5269548 7026064 8343451 10539096 16686902 21078192 25030353 33373804 50060706 66747608 100121412 133495216 200242824 400485648