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40626240 = 2635101419
BaseRepresentation
bin1001101011111…
…0100001000000
32211110000201120
42122332201000
540400014430
64010432240
71002213564
oct232764100
984400646
1040626240
1120a29106
1211732680
1385558c5
1455776a4
153877610
hex26be840

40626240 has 112 divisors (see below), whose sum is σ = 130576320. Its totient is φ = 10700800.

The previous prime is 40626221. The next prime is 40626247. The reversal of 40626240 is 4262604.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40626240.

It is not an unprimeable number, because it can be changed into a prime (40626247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96751 + ... + 97169.

It is an arithmetic number, because the mean of its divisors is an integer number (1165860).

Almost surely, 240626240 is an apocalyptic number.

40626240 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 40626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65288160).

40626240 is an abundant number, since it is smaller than the sum of its proper divisors (89950080).

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

40626240 is a wasteful number, since it uses less digits than its factorization.

40626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40626240 is about 6373.8716648517. The cubic root of 40626240 is about 343.7707143440.

Adding to 40626240 its reverse (4262604), we get a palindrome (44888844).

The spelling of 40626240 in words is "forty million, six hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 419 480 505 606 808 838 960 1010 1212 1257 1515 1616 1676 2020 2095 2424 2514 3030 3232 3352 4040 4190 4848 5028 6060 6285 6464 6704 8080 8380 9696 10056 12120 12570 13408 16160 16760 19392 20112 24240 25140 26816 32320 33520 40224 42319 48480 50280 67040 80448 84638 96960 100560 126957 134080 169276 201120 211595 253914 338552 402240 423190 507828 634785 677104 846380 1015656 1269570 1354208 1692760 2031312 2539140 2708416 3385520 4062624 5078280 6771040 8125248 10156560 13542080 20313120 40626240