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40642240 = 2651731241
BaseRepresentation
bin1001101100001…
…0011011000000
32211110211200011
42123002123000
540401022430
64011034304
71002311332
oct233023300
984424604
1040642240
1120a3a131
121173b994
13855cc82
14557d452
15387c22a
hex26c26c0

40642240 has 112 divisors (see below), whose sum is σ = 106216704. Its totient is φ = 14745600.

The previous prime is 40642229. The next prime is 40642247. The reversal of 40642240 is 4224604.

It is not an unprimeable number, because it can be changed into a prime (40642247) 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, 168520 + ... + 168760.

Almost surely, 240642240 is an apocalyptic number.

40642240 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 40642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53108352).

40642240 is an abundant number, since it is smaller than the sum of its proper divisors (65574464).

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

40642240 is a wasteful number, since it uses less digits than its factorization.

40642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 40642240 is about 6375.1266654083. The cubic root of 40642240 is about 343.8158379679.

Adding to 40642240 its reverse (4224604), we get a palindrome (44866844).

The spelling of 40642240 in words is "forty million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 136 155 160 170 241 248 272 310 320 340 482 496 527 544 620 680 964 992 1054 1088 1205 1240 1360 1928 1984 2108 2410 2480 2635 2720 3856 4097 4216 4820 4960 5270 5440 7471 7712 8194 8432 9640 9920 10540 14942 15424 16388 16864 19280 20485 21080 29884 32776 33728 37355 38560 40970 42160 59768 65552 74710 77120 81940 84320 119536 127007 131104 149420 163880 168640 239072 254014 262208 298840 327760 478144 508028 597680 635035 655520 1016056 1195360 1270070 1311040 2032112 2390720 2540140 4064224 5080280 8128448 10160560 20321120 40642240