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4692521340 = 22325134159829
BaseRepresentation
bin1000101111011001…
…00011000101111100
3110010000210210010200
410113230203011330
534102241140330
62053345003500
7224166526143
oct42754430574
913100723120
104692521340
111a98895811
12aab623590
1359a242a60
1432730275a
151c6e6ba60
hex117b2317c

4692521340 has 288 divisors, whose sum is σ = 15988190400. Its totient is φ = 1106472960.

The previous prime is 4692521303. The next prime is 4692521377. The reversal of 4692521340 is 431252964.

It is a happy number.

4692521340 is a `hidden beast` number, since 4 + 6 + 92 + 521 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4692521303) and next prime (4692521377).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4692521295 and 4692521304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5660046 + ... + 5660874.

It is an arithmetic number, because the mean of its divisors is an integer number (55514550).

Almost surely, 24692521340 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 4692521340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994095200).

4692521340 is an abundant number, since it is smaller than the sum of its proper divisors (11295669060).

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

4692521340 is a wasteful number, since it uses less digits than its factorization.

4692521340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4692521340 is about 68501.9805553095. The cubic root of 4692521340 is about 1674.1797531396.

It can be divided in two parts, 46925 and 21340, that added together give a triangular number (68265 = T369).

The spelling of 4692521340 in words is "four billion, six hundred ninety-two million, five hundred twenty-one thousand, three hundred forty".