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4980925440 = 210335137263
BaseRepresentation
bin1001010001110001…
…01110010000000000
3110212010111020012000
410220320232100000
540200104103230
62142130304000
7234301111341
oct45070562000
913763436160
104980925440
11212666a007
12b70128000
13614c1077a
143537380c8
151e2439b60
hex128e2e400

4980925440 has 352 divisors, whose sum is σ = 17898312960. Its totient is φ = 1313538048.

The previous prime is 4980925429. The next prime is 4980925493. The reversal of 4980925440 is 445290894.

4980925440 is a `hidden beast` number, since 49 + 80 + 92 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18938749 + ... + 18939011.

It is an arithmetic number, because the mean of its divisors is an integer number (50847480).

Almost surely, 24980925440 is an apocalyptic number.

4980925440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4980925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949156480).

4980925440 is an abundant number, since it is smaller than the sum of its proper divisors (12917387520).

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

4980925440 is a wasteful number, since it uses less digits than its factorization.

4980925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4980925440 is about 70575.6717290030. The cubic root of 4980925440 is about 1707.7987064122.

The spelling of 4980925440 in words is "four billion, nine hundred eighty million, nine hundred twenty-five thousand, four hundred forty".