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400145550 = 235271792129
BaseRepresentation
bin10111110110011…
…011110010001110
31000212221111111120
4113312123302032
51304414124200
6103412301410
712626116050
oct2766336216
91025844446
10400145550
11195965302
12b2011866
1364b9291c
143b2018d0
15251e19a0
hex17d9bc8e

400145550 has 96 divisors (see below), whose sum is σ = 1140998400. Its totient is φ = 90908160.

The previous prime is 400145539. The next prime is 400145587. The reversal of 400145550 is 55541004.

It is a super-2 number, since 2×4001455502 = 320232922369605000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 400145550.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186886 + ... + 189014.

It is an arithmetic number, because the mean of its divisors is an integer number (11885400).

Almost surely, 2400145550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400145550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570499200).

400145550 is an abundant number, since it is smaller than the sum of its proper divisors (740852850).

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

400145550 is a wasteful number, since it uses less digits than its factorization.

400145550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 400145550 is about 20003.6384190477. The cubic root of 400145550 is about 736.8956573547.

Adding to 400145550 its reverse (55541004), we get a palindrome (455686554).

The spelling of 400145550 in words is "four hundred million, one hundred forty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 179 210 350 358 525 537 895 1050 1074 1253 1790 2129 2506 2685 3759 4258 4475 5370 6265 6387 7518 8950 10645 12530 12774 13425 14903 18795 21290 26850 29806 31325 31935 37590 44709 53225 62650 63870 74515 89418 93975 106450 149030 159675 187950 223545 319350 372575 381091 447090 745150 762182 1117725 1143273 1905455 2235450 2286546 2667637 3810910 5335274 5716365 8002911 9527275 11432730 13338185 16005822 19054550 26676370 28581825 40014555 57163650 66690925 80029110 133381850 200072775 400145550