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4892425632 = 2532137123997
BaseRepresentation
bin1001000111001110…
…00111110110100000
3110121221221222021100
410203213013312200
540004430110012
62125245354400
7232144634403
oct44347076640
913557858240
104892425632
112090712876
12b46568a00
135cc795613
14345a9bd3a
151d97a78dc
hex1239c7da0

4892425632 has 72 divisors (see below), whose sum is σ = 14014501956. Its totient is φ = 1618891776.

The previous prime is 4892425627. The next prime is 4892425633. The reversal of 4892425632 is 2365242984.

4892425632 is a `hidden beast` number, since 4 + 8 + 9 + 2 + 4 + 2 + 5 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4822469136 + 69956496 = 69444^2 + 8364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4892425633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22543 + ... + 101454.

Almost surely, 24892425632 is an apocalyptic number.

It is an amenable number.

4892425632 is an abundant number, since it is smaller than the sum of its proper divisors (9122076324).

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

4892425632 is a wasteful number, since it uses less digits than its factorization.

4892425632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124150 (or 124139 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4892425632 is about 69945.8764474361. The cubic root of 4892425632 is about 1697.6236268695.

The spelling of 4892425632 in words is "four billion, eight hundred ninety-two million, four hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 9864 13152 19728 39456 123997 247994 371991 495988 743982 991976 1115973 1487964 1983952 2231946 2975928 3967904 4463892 5951856 8927784 11903712 16987589 17855568 33975178 35711136 50962767 67950356 101925534 135900712 152888301 203851068 271801424 305776602 407702136 543602848 611553204 815404272 1223106408 1630808544 2446212816 4892425632