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40278420 = 223257132459
BaseRepresentation
bin1001100110100…
…1100110010100
32210210100121100
42121221212110
540302402140
63555150100
7666234540
oct231514624
983710540
1040278420
1120810856
12115a5330
1384634b0
1454c6a20
153809530
hex2669994

40278420 has 144 divisors (see below), whose sum is σ = 150433920. Its totient is φ = 8494848.

The previous prime is 40278409. The next prime is 40278421. The reversal of 40278420 is 2487204.

It is a super-2 number, since 2×402784202 = 3244702235392800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40278421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15151 + ... + 17609.

It is an arithmetic number, because the mean of its divisors is an integer number (1044680).

Almost surely, 240278420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40278420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75216960).

40278420 is an abundant number, since it is smaller than the sum of its proper divisors (110155500).

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

40278420 is a wasteful number, since it uses less digits than its factorization.

40278420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40278420 is about 6346.5281847637. The cubic root of 40278420 is about 342.7868412407.

The spelling of 40278420 in words is "forty million, two hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2459 2730 3276 4095 4918 5460 7377 8190 9836 12295 14754 16380 17213 22131 24590 29508 31967 34426 36885 44262 49180 51639 63934 68852 73770 86065 88524 95901 103278 110655 127868 147540 154917 159835 172130 191802 206556 221310 223769 258195 287703 309834 319670 344260 383604 442620 447538 479505 516390 575406 619668 639340 671307 774585 895076 959010 1032780 1118845 1150812 1342614 1438515 1549170 1918020 2013921 2237690 2685228 2877030 3098340 3356535 4027842 4475380 5754060 6713070 8055684 10069605 13426140 20139210 40278420