Search a number
-
+
4040225376 = 253119739443
BaseRepresentation
bin1111000011010000…
…1111001001100000
3101102120101201021220
43300310033021200
531233244203001
61504524015040
7202056230505
oct36064171140
911376351256
104040225376
111793669140
12949091480
134c5066a05
142a48254ac
15189a6dc36
hexf0d0f260

4040225376 has 96 divisors (see below), whose sum is σ = 11689308288. Its totient is φ = 1211658240.

The previous prime is 4040225363. The next prime is 4040225377. The reversal of 4040225376 is 6735220404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040225377) 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, 82711 + ... + 122153.

It is an arithmetic number, because the mean of its divisors is an integer number (121763628).

Almost surely, 24040225376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844654144).

4040225376 is an abundant number, since it is smaller than the sum of its proper divisors (7649082912).

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

4040225376 is a wasteful number, since it uses less digits than its factorization.

4040225376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39564 (or 39556 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 4040225376 is about 63562.7672147776. The cubic root of 4040225376 is about 1592.7044642004.

The spelling of 4040225376 in words is "four billion, forty million, two hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 132 176 194 264 291 352 388 528 582 776 1056 1067 1164 1552 2134 2328 3104 3201 4268 4656 6402 8536 9312 12804 17072 25608 34144 39443 51216 78886 102432 118329 157772 236658 315544 433873 473316 631088 867746 946632 1262176 1301619 1735492 1893264 2603238 3470984 3786528 3825971 5206476 6941968 7651942 10412952 11477913 13883936 15303884 20825904 22955826 30607768 41651808 42085681 45911652 61215536 84171362 91823304 122431072 126257043 168342724 183646608 252514086 336685448 367293216 505028172 673370896 1010056344 1346741792 2020112688 4040225376