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4640269040 = 245117696857
BaseRepresentation
bin1000101001001010…
…01110001011110000
3102222101111002110022
410110211032023300
534000402102130
62044241023012
7222663431111
oct42445161360
912871432408
104640269040
111a713468a0
12a96024a68
1358c479434
143203c0208
151c25997e5
hex11494e2f0

4640269040 has 80 divisors (see below), whose sum is σ = 11786433120. Its totient is φ = 1684930560.

The previous prime is 4640269027. The next prime is 4640269043. The reversal of 4640269040 is 409620464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640269043) 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, 673292 + ... + 680148.

It is an arithmetic number, because the mean of its divisors is an integer number (147330414).

Almost surely, 24640269040 is an apocalyptic number.

4640269040 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 4640269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893216560).

4640269040 is an abundant number, since it is smaller than the sum of its proper divisors (7146164080).

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

4640269040 is a wasteful number, since it uses less digits than its factorization.

4640269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 4640269040 is about 68119.5202566783. The cubic root of 4640269040 is about 1667.9424191353.

The spelling of 4640269040 in words is "four billion, six hundred forty million, two hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 769 880 1538 3076 3845 6152 6857 7690 8459 12304 13714 15380 16918 27428 30760 33836 34285 42295 54856 61520 67672 68570 75427 84590 109712 135344 137140 150854 169180 274280 301708 338360 377135 548560 603416 676720 754270 1206832 1508540 3017080 5273033 6034160 10546066 21092132 26365165 42184264 52730330 58003363 84368528 105460660 116006726 210921320 232013452 290016815 421842640 464026904 580033630 928053808 1160067260 2320134520 4640269040