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40409460 = 223257132467
BaseRepresentation
bin1001101000100…
…1100101110100
32211001000100200
42122021211310
540321100320
64002040500
71000321560
oct232114564
984030320
1040409460
11208a0253
1211649130
1384ab030
14551c6a0
153833290
hex2689974

40409460 has 144 divisors (see below), whose sum is σ = 150923136. Its totient is φ = 8522496.

The previous prime is 40409443. The next prime is 40409497. The reversal of 40409460 is 6490404.

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, 15147 + ... + 17613.

Almost surely, 240409460 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 40409460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75461568).

40409460 is an abundant number, since it is smaller than the sum of its proper divisors (110513676).

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

40409460 is a wasteful number, since it uses less digits than its factorization.

40409460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40409460 is about 6356.8435563572. The cubic root of 40409460 is about 343.1581746021.

Adding to 40409460 its reverse (6490404), we get a palindrome (46899864).

The spelling of 40409460 in words is "forty million, four hundred nine thousand, four hundred sixty".

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 2467 2730 3276 4095 4934 5460 7401 8190 9868 12335 14802 16380 17269 22203 24670 29604 32071 34538 37005 44406 49340 51807 64142 69076 74010 86345 88812 96213 103614 111015 128284 148020 155421 160355 172690 192426 207228 222030 224497 259035 288639 310842 320710 345380 384852 444060 448994 481065 518070 577278 621684 641420 673491 777105 897988 962130 1036140 1122485 1154556 1346982 1443195 1554210 1924260 2020473 2244970 2693964 2886390 3108420 3367455 4040946 4489940 5772780 6734910 8081892 10102365 13469820 20204730 40409460