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4050863840 = 255192945949
BaseRepresentation
bin1111000101110011…
…0100011011100000
3101110022102012112002
43301130310123200
531244010120330
61505544023132
7202245526442
oct36134643340
911408365462
104050863840
111799674a61
12950761aa8
134c732006a
142a5dd4492
1518a970e45
hexf17346e0

4050863840 has 96 divisors (see below), whose sum is σ = 10421460000. Its totient is φ = 1482098688.

The previous prime is 4050863809. The next prime is 4050863849. The reversal of 4050863840 is 483680504.

It is a happy number.

4050863840 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 (38).

It is a junction number, because it is equal to n+sod(n) for n = 4050863794 and 4050863803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050863849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65186 + ... + 111134.

It is an arithmetic number, because the mean of its divisors is an integer number (108556875).

Almost surely, 24050863840 is an apocalyptic number.

4050863840 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 4050863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210730000).

4050863840 is an abundant number, since it is smaller than the sum of its proper divisors (6370596160).

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

4050863840 is a wasteful number, since it uses less digits than its factorization.

4050863840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46012 (or 46004 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 4050863840 is about 63646.3969129439. The cubic root of 4050863840 is about 1594.1011749740.

The spelling of 4050863840 in words is "four billion, fifty million, eight hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 145 152 160 190 232 290 304 380 464 551 580 608 760 928 1102 1160 1520 2204 2320 2755 3040 4408 4640 5510 8816 11020 17632 22040 44080 45949 88160 91898 183796 229745 367592 459490 735184 873031 918980 1332521 1470368 1746062 1837960 2665042 3492124 3675920 4365155 5330084 6662605 6984248 7351840 8730310 10660168 13325210 13968496 17460620 21320336 25317899 26650420 27936992 34921240 42640672 50635798 53300840 69842480 101271596 106601680 126589495 139684960 202543192 213203360 253178990 405086384 506357980 810172768 1012715960 2025431920 4050863840