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4041252432 = 243371336393
BaseRepresentation
bin1111000011100000…
…1001111001010000
3101102122022220011000
43300320021321100
531234030034212
61505002022000
7202101036030
oct36070117120
911378286130
104041252432
1117941aa848
129494a7900
134c5336339
142a4a118c0
15189bc31dc
hexf0e09e50

4041252432 has 80 divisors (see below), whose sum is σ = 13257028480. Its totient is φ = 1154642688.

The previous prime is 4041252431. The next prime is 4041252437. The reversal of 4041252432 is 2342521404.

4041252432 is a `hidden beast` number, since 4 + 0 + 412 + 5 + 243 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4041252396 and 4041252405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041252431) 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, 665173 + ... + 671220.

It is an arithmetic number, because the mean of its divisors is an integer number (165712856).

Almost surely, 24041252432 is an apocalyptic number.

4041252432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4041252432 is an abundant number, since it is smaller than the sum of its proper divisors (9215776048).

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

4041252432 is a wasteful number, since it uses less digits than its factorization.

4041252432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336417 (or 1336405 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4041252432 is about 63570.8457706833. The cubic root of 4041252432 is about 1592.8394119598.

Adding to 4041252432 its reverse (2342521404), we get a palindrome (6383773836).

The spelling of 4041252432 in words is "four billion, forty-one million, two hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 1336393 2672786 4009179 5345572 8018358 9354751 10691144 12027537 16036716 18709502 21382288 24055074 28064253 32073432 36082611 37419004 48110148 56128506 64146864 72165222 74838008 84192759 96220296 112257012 144330444 149676016 168385518 192440592 224514024 252578277 288660888 336771036 449028048 505156554 577321776 673542072 1010313108 1347084144 2020626216 4041252432