Search a number
-
+
400418046 = 233719127439
BaseRepresentation
bin10111110111011…
…110010011111110
31000220110100022000
4113313132103332
51310001334141
6103422203130
712631332360
oct2767362376
91026410260
10400418046
11196031006
12b21234a6
1364c59972
143b272d30
15252475b6
hex17dde4fe

400418046 has 128 divisors (see below), whose sum is σ = 1081344000. Its totient is φ = 107285472.

The previous prime is 400418023. The next prime is 400418047. The reversal of 400418046 is 640814004.

It is a super-2 number, since 2×4004180462 = 320669223124916232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400418047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 911895 + ... + 912333.

It is an arithmetic number, because the mean of its divisors is an integer number (8448000).

Almost surely, 2400418046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400418046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540672000).

400418046 is an abundant number, since it is smaller than the sum of its proper divisors (680925954).

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

400418046 is a wasteful number, since it uses less digits than its factorization.

400418046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 400418046 is about 20010.4484207626. The cubic root of 400418046 is about 737.0628927977.

The spelling of 400418046 in words is "four hundred million, four hundred eighteen thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 127 133 171 189 254 266 342 378 381 399 439 513 762 798 878 889 1026 1143 1197 1317 1778 2286 2394 2413 2634 2667 3073 3429 3591 3951 4826 5334 6146 6858 7182 7239 7902 8001 8341 9219 11853 14478 16002 16682 16891 18438 21717 23706 24003 25023 27657 33782 43434 48006 50046 50673 55314 55753 58387 65151 75069 82971 101346 111506 116774 130302 150138 152019 165942 167259 175161 225207 304038 334518 350322 390271 450414 456057 501777 525483 780542 912114 1003554 1050966 1059307 1170813 1505331 1576449 2118614 2341626 3010662 3152898 3177921 3512439 6355842 7024878 7415149 9533763 10537317 14830298 19067526 21074634 22245447 28601289 44490894 57202578 66736341 133472682 200209023 400418046