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4074246000 = 24335311193
BaseRepresentation
bin1111001011011000…
…0000111101110000
3101111221102010211000
43302312000331300
531321001333000
61512141122000
7202651343136
oct36266007560
911457363730
104074246000
111800895360
12958559300
134cc118a66
142a915d756
1518ca3e000
hexf2d80f70

4074246000 has 640 divisors, whose sum is σ = 16806067200. Its totient is φ = 935712000.

The previous prime is 4074245999. The next prime is 4074246031. The reversal of 4074246000 is 6424704.

4074246000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214433991 + ... + 214434009.

It is an arithmetic number, because the mean of its divisors is an integer number (26259480).

Almost surely, 24074246000 is an apocalyptic number.

4074246000 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 4074246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8403033600).

4074246000 is an abundant number, since it is smaller than the sum of its proper divisors (12731821200).

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

4074246000 is a wasteful number, since it uses less digits than its factorization.

4074246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4074246000 is about 63829.8206170125. The cubic root of 4074246000 is about 1597.1624184736.

The spelling of 4074246000 in words is "four billion, seventy-four million, two hundred forty-six thousand".