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40114624 = 2611192999
BaseRepresentation
bin1001100100000…
…1100111000000
32210111000220211
42121001213000
540232131444
63551443504
7664653154
oct231014700
983430824
1040114624
1120709790
1211526594
138406a84
145483064
1537c5c34
hex26419c0

40114624 has 56 divisors (see below), whose sum is σ = 91440000. Its totient is φ = 17268480.

The previous prime is 40114603. The next prime is 40114649. The reversal of 40114624 is 42641104.

It is a super-2 number, since 2×401146242 = 3218366117322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 40114595 and 40114604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11877 + ... + 14875.

Almost surely, 240114624 is an apocalyptic number.

40114624 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 40114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720000).

40114624 is an abundant number, since it is smaller than the sum of its proper divisors (51325376).

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

40114624 is a wasteful number, since it uses less digits than its factorization.

40114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 40114624 is about 6333.6106605948. The cubic root of 40114624 is about 342.3215515972.

Adding to 40114624 its reverse (42641104), we get a palindrome (82755728).

The spelling of 40114624 in words is "forty million, one hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 2999 3344 5998 6688 11996 13376 23992 32989 47984 56981 65978 95968 113962 131956 191936 227924 263912 455848 527824 626791 911696 1055648 1253582 1823392 2111296 2507164 3646784 5014328 10028656 20057312 40114624