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4052366640 = 243257361269
BaseRepresentation
bin1111000110001010…
…0011010100110000
3101110102020112222100
43301202203110300
531244401213030
61510040140400
7202264356000
oct36142432460
911412215870
104052366640
11179a501043
12951167700
134c77280aa
142a62a6000
1518ab6b360
hexf18a3530

4052366640 has 480 divisors, whose sum is σ = 16190928000. Its totient is φ = 907683840.

The previous prime is 4052366639. The next prime is 4052366821. The reversal of 4052366640 is 466632504.

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 = 4052366595 and 4052366604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15064426 + ... + 15064694.

It is an arithmetic number, because the mean of its divisors is an integer number (33731100).

Almost surely, 24052366640 is an apocalyptic number.

4052366640 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 4052366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095464000).

4052366640 is an abundant number, since it is smaller than the sum of its proper divisors (12138561360).

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

4052366640 is a wasteful number, since it uses less digits than its factorization.

4052366640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4052366640 is about 63658.2016711123. The cubic root of 4052366640 is about 1594.2982785349.

The spelling of 4052366640 in words is "four billion, fifty-two million, three hundred sixty-six thousand, six hundred forty".