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538952440 = 235131278161
BaseRepresentation
bin100000000111111…
…100001011111000
31101120010121202111
4200013330023320
52100432434230
6125251342104
716233006625
oct4007741370
91346117674
10538952440
11257251a44
121305b1934
1387872b90
145181534c
15324ae92a
hex201fc2f8

538952440 has 64 divisors (see below), whose sum is σ = 1316367360. Its totient is φ = 197406720.

The previous prime is 538952437. The next prime is 538952441. The reversal of 538952440 is 44259835.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 538952393 and 538952402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538952441) 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, 61960 + ... + 70120.

It is an arithmetic number, because the mean of its divisors is an integer number (20568240).

Almost surely, 2538952440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538952440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658183680).

538952440 is an abundant number, since it is smaller than the sum of its proper divisors (777414920).

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

538952440 is a wasteful number, since it uses less digits than its factorization.

538952440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 538952440 is about 23215.3492327813. The cubic root of 538952440 is about 813.7983671935.

The spelling of 538952440 in words is "five hundred thirty-eight million, nine hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 508 520 635 1016 1270 1651 2540 3302 5080 6604 8161 8255 13208 16322 16510 32644 33020 40805 65288 66040 81610 106093 163220 212186 326440 424372 530465 848744 1036447 1060930 2072894 2121860 4145788 4243720 5182235 8291576 10364470 13473811 20728940 26947622 41457880 53895244 67369055 107790488 134738110 269476220 538952440