Search a number
-
+
2502671388 = 2237178112161
BaseRepresentation
bin1001010100101011…
…1011110000011100
320110102012212201220
42111022323300130
520111140441023
61052200533340
7116006233020
oct22512736034
96412185656
102502671388
111074769068
1259a181250
1330b656359
1419a548380
15e9aa73e3
hex952bbc1c

2502671388 has 96 divisors (see below), whose sum is σ = 7078353408. Its totient is φ = 671846400.

The previous prime is 2502671383. The next prime is 2502671389. The reversal of 2502671388 is 8831762052.

2502671388 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502671383) 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, 1157028 + ... + 1159188.

It is an arithmetic number, because the mean of its divisors is an integer number (73732848).

Almost surely, 22502671388 is an apocalyptic number.

2502671388 is a gapful number since it is divisible by the number (28) 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 2502671388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539176704).

2502671388 is an abundant number, since it is smaller than the sum of its proper divisors (4575682020).

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

2502671388 is a wasteful number, since it uses less digits than its factorization.

2502671388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2502671388 is about 50026.7067474964. The cubic root of 2502671388 is about 1357.6920537234.

The spelling of 2502671388 in words is "two billion, five hundred two million, six hundred seventy-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 811 1428 1622 2161 2433 3244 4322 4866 5677 6483 8644 9732 11354 12966 13787 15127 17031 22708 25932 27574 30254 34062 36737 41361 45381 55148 60508 68124 73474 82722 90762 96509 110211 146948 165444 181524 193018 220422 257159 289527 386036 440844 514318 579054 771477 1028636 1158108 1542954 1752571 3085908 3505142 5257713 7010284 10515426 12267997 21030852 24535994 29793707 36803991 49071988 59587414 73607982 89381121 119174828 147215964 178762242 208555949 357524484 417111898 625667847 834223796 1251335694 2502671388