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4094029632 = 263711318933
BaseRepresentation
bin1111010000000101…
…1110111101000000
3101120022122020212010
43310001132331000
531341032422012
61514125132520
7203311451310
oct36401367500
911508566763
104094029632
111810a78070
129630ba140
13503254854
142aba2d440
1518e64ac3c
hexf405ef40

4094029632 has 224 divisors, whose sum is σ = 13942185984. Its totient is φ = 1028966400.

The previous prime is 4094029567. The next prime is 4094029633. The reversal of 4094029632 is 2369204904.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×40940296322 = 33522157255388110848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4094029633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453838 + ... + 462770.

Almost surely, 24094029632 is an apocalyptic number.

4094029632 is a gapful number since it is divisible by the number (42) 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 4094029632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971092992).

4094029632 is an abundant number, since it is smaller than the sum of its proper divisors (9848156352).

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

4094029632 is a wasteful number, since it uses less digits than its factorization.

4094029632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8997 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 4094029632 is about 63984.6046483058. The cubic root of 4094029632 is about 1599.7434005168.

The spelling of 4094029632 in words is "four billion, ninety-four million, twenty-nine thousand, six hundred thirty-two".