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4024250880 = 293513172371
BaseRepresentation
bin1110111111011101…
…0011001000000000
3101101110100010101220
43233313103020000
531220202012010
61503153355040
7201503365566
oct35767231000
911343303356
104024250880
111785648281
12943868a80
134c1962950
142a2667a36
15188465970
hexefdd3200

4024250880 has 320 divisors, whose sum is σ = 14675810688. Its totient is φ = 931921920.

The previous prime is 4024250851. The next prime is 4024250899. The reversal of 4024250880 is 880524204.

It is a happy number.

4024250880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696095 + ... + 1698465.

Almost surely, 24024250880 is an apocalyptic number.

4024250880 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 4024250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337905344).

4024250880 is an abundant number, since it is smaller than the sum of its proper divisors (10651559808).

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

4024250880 is a wasteful number, since it uses less digits than its factorization.

4024250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 4024250880 is about 63436.9835348435. The cubic root of 4024250880 is about 1590.6025800379.

The spelling of 4024250880 in words is "four billion, twenty-four million, two hundred fifty thousand, eight hundred eighty".