Search a number
-
+
402411040 = 25573131263
BaseRepresentation
bin10111111111000…
…100111000100000
31001001012121011121
4113333010320200
51311004123130
6103533022024
712654303013
oct2777047040
91031177147
10402411040
11197172409
12b2924914
13654a6b55
143b63137a
15254dcd7a
hex17fc4e20

402411040 has 96 divisors (see below), whose sum is σ = 974768256. Its totient is φ = 156948480.

The previous prime is 402411019. The next prime is 402411041. The reversal of 402411040 is 40114204.

It is a super-2 number, since 2×4024110402 = 323869290227763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (402411041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529949 + ... + 1530211.

It is an arithmetic number, because the mean of its divisors is an integer number (10153836).

Almost surely, 2402411040 is an apocalyptic number.

402411040 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 402411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487384128).

402411040 is an abundant number, since it is smaller than the sum of its proper divisors (572357216).

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

402411040 is a wasteful number, since it uses less digits than its factorization.

402411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 402411040 is about 20060.1854428118. The cubic root of 402411040 is about 738.2837264639.

Adding to 402411040 its reverse (40114204), we get a palindrome (442525244).

The spelling of 402411040 in words is "four hundred two million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 131 146 160 262 263 292 365 524 526 584 655 730 1048 1052 1168 1310 1315 1460 2096 2104 2336 2620 2630 2920 4192 4208 5240 5260 5840 8416 9563 10480 10520 11680 19126 19199 20960 21040 34453 38252 38398 42080 47815 68906 76504 76796 95630 95995 137812 153008 153592 172265 191260 191990 275624 306016 307184 344530 382520 383980 551248 614368 689060 765040 767960 1102496 1378120 1530080 1535920 2515069 2756240 3071840 5030138 5512480 10060276 12575345 20120552 25150690 40241104 50301380 80482208 100602760 201205520 402411040