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4540146432 = 2837974831
BaseRepresentation
bin1000011101001110…
…10010001100000000
3102201102002100001120
410032213102030000
533244234141212
62030303032240
7220336415343
oct41647221400
912642070046
104540146432
111a1a881238
12a6859b680
135747c1ba3
14310d9a45a
151b88bd88c
hex10e9d2300

4540146432 has 72 divisors (see below), whose sum is σ = 12236528640. Its totient is φ = 1494205440.

The previous prime is 4540146427. The next prime is 4540146437. The reversal of 4540146432 is 2346410454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4540146427) and next prime (4540146437).

It is a super-2 number, since 2×45401464322 = 41225859248004661248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4540146393 and 4540146402.

It is not an unprimeable number, because it can be changed into a prime (4540146437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23257 + ... + 98087.

Almost surely, 24540146432 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 4540146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118264320).

4540146432 is an abundant number, since it is smaller than the sum of its proper divisors (7696382208).

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

4540146432 is an equidigital number, since it uses as much as digits as its factorization.

4540146432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74929 (or 74915 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 4540146432 is about 67380.6087238754. The cubic root of 4540146432 is about 1655.8587477830.

Adding to 4540146432 its reverse (2346410454), we get a palindrome (6886556886).

The spelling of 4540146432 in words is "four billion, five hundred forty million, one hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3792 5056 7584 10112 15168 20224 30336 60672 74831 149662 224493 299324 448986 598648 897972 1197296 1795944 2394592 3591888 4789184 5911649 7183776 9578368 11823298 14367552 17734947 19156736 23646596 28735104 35469894 47293192 57470208 70939788 94586384 141879576 189172768 283759152 378345536 567518304 756691072 1135036608 1513382144 2270073216 4540146432