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40053552 = 24371110837
BaseRepresentation
bin1001100011001…
…0101100110000
32210100221010220
42120302230300
540223203202
63550253040
7664310130
oct230625460
983327126
1040053552
1120677910
12114b7180
1383b5036
145468ac0
1537b2abc
hex2632b30

40053552 has 80 divisors (see below), whose sum is σ = 129015552. Its totient is φ = 10402560.

The previous prime is 40053551. The next prime is 40053569. The reversal of 40053552 is 25535004.

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

It is not an unprimeable number, because it can be changed into a prime (40053551) 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, 1723 + ... + 9114.

Almost surely, 240053552 is an apocalyptic number.

40053552 is a gapful number since it is divisible by the number (42) 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 40053552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64507776).

40053552 is an abundant number, since it is smaller than the sum of its proper divisors (88962000).

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

40053552 is a wasteful number, since it uses less digits than its factorization.

40053552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10866 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 40053552 is about 6328.7875616108. The cubic root of 40053552 is about 342.1477423294.

Adding to 40053552 its reverse (25535004), we get a palindrome (65588556).

It can be divided in two parts, 4005 and 3552, that added together give a palindrome (7557).

The spelling of 40053552 in words is "forty million, fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 10837 21674 32511 43348 65022 75859 86696 119207 130044 151718 173392 227577 238414 260088 303436 357621 455154 476828 520176 606872 715242 834449 910308 953656 1213744 1430484 1668898 1820616 1907312 2503347 2860968 3337796 3641232 5006694 5721936 6675592 10013388 13351184 20026776 40053552