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40253004 = 223311311093
BaseRepresentation
bin1001100110001…
…1011001001100
32210202001202000
42121203121030
540301044004
63554432300
7666100461
oct231433114
983661660
1040253004
11207a3750
1211592690
138454a5c
1454bb668
153801c39
hex266364c

40253004 has 96 divisors (see below), whose sum is σ = 117626880. Its totient is φ = 11793600.

The previous prime is 40252987. The next prime is 40253011. The reversal of 40253004 is 40035204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36282 + ... + 37374.

It is an arithmetic number, because the mean of its divisors is an integer number (1225280).

Almost surely, 240253004 is an apocalyptic number.

40253004 is a gapful number since it is divisible by the number (44) 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 40253004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58813440).

40253004 is an abundant number, since it is smaller than the sum of its proper divisors (77373876).

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

40253004 is a wasteful number, since it uses less digits than its factorization.

40253004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40253004 is about 6344.5255141736. The cubic root of 40253004 is about 342.7147256719.

Adding to 40253004 its reverse (40035204), we get a palindrome (80288208).

The spelling of 40253004 in words is "forty million, two hundred fifty-three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1093 1116 1188 1364 1674 2046 2186 3069 3279 3348 4092 4372 6138 6558 9207 9837 12023 12276 13116 18414 19674 24046 29511 33883 36069 36828 39348 48092 59022 67766 72138 101649 108207 118044 135532 144276 203298 216414 304947 324621 372713 406596 432828 609894 649242 745426 914841 1118139 1219788 1298484 1490852 1829682 2236278 3354417 3659364 4472556 6708834 10063251 13417668 20126502 40253004