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40125624 = 23371121713
BaseRepresentation
bin1001100100010…
…0010010111000
32210111121000020
42121010102320
540233004444
63552010440
7665030220
oct231042270
983447006
1040125624
1120716a80
1211530a20
13840ba96
145487080
1537c9119
hex26444b8

40125624 has 64 divisors (see below), whose sum is σ = 125072640. Its totient is φ = 10421760.

The previous prime is 40125623. The next prime is 40125637. The reversal of 40125624 is 42652104.

It is a super-2 number, since 2×401256242 = 3220131402778752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40125594 and 40125603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40125623) 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, 9009 + ... + 12704.

It is an arithmetic number, because the mean of its divisors is an integer number (1954260).

Almost surely, 240125624 is an apocalyptic number.

40125624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40125624 is an abundant number, since it is smaller than the sum of its proper divisors (84947016).

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

40125624 is a wasteful number, since it uses less digits than its factorization.

40125624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21740 (or 21736 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40125624 is about 6334.4789840996. The cubic root of 40125624 is about 342.3528385491.

Adding to 40125624 its reverse (42652104), we get a palindrome (82777728).

The spelling of 40125624 in words is "forty million, one hundred twenty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 21713 43426 65139 86852 130278 151991 173704 238843 260556 303982 455973 477686 521112 607964 716529 911946 955372 1215928 1433058 1671901 1823892 1910744 2866116 3343802 3647784 5015703 5732232 6687604 10031406 13375208 20062812 40125624