Search a number
-
+
5274057936 = 2437151103951
BaseRepresentation
bin1001110100101101…
…11011110011010000
3111121120001220101010
410322112323303100
541300124323221
62231201210520
7244460516130
oct47226736320
914546056333
105274057936
112267082874
121032330a40
13660875754
14380640ac0
1520d03dc76
hex13a5bbcd0

5274057936 has 80 divisors (see below), whose sum is σ = 15674298368. Its totient is φ = 1496880000.

The previous prime is 5274057911. The next prime is 5274057947. The reversal of 5274057936 is 6397504725.

It is a super-2 number, since 2×52740579362 = 55631374224569160192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240 + ... + 102711.

Almost surely, 25274057936 is an apocalyptic number.

5274057936 is a gapful number since it is divisible by the number (56) 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 5274057936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837149184).

5274057936 is an abundant number, since it is smaller than the sum of its proper divisors (10400240432).

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

5274057936 is a wasteful number, since it uses less digits than its factorization.

5274057936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104120 (or 104114 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The square root of 5274057936 is about 72622.7095060491. The cubic root of 5274057936 is about 1740.6640720626.

The spelling of 5274057936 in words is "five billion, two hundred seventy-four million, fifty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 302 336 453 604 906 1057 1208 1812 2114 2416 3171 3624 4228 6342 7248 8456 12684 16912 25368 50736 103951 207902 311853 415804 623706 727657 831608 1247412 1455314 1663216 2182971 2494824 2910628 4365942 4989648 5821256 8731884 11642512 15696601 17463768 31393202 34927536 47089803 62786404 94179606 109876207 125572808 188359212 219752414 251145616 329628621 376718424 439504828 659257242 753436848 879009656 1318514484 1758019312 2637028968 5274057936