Search a number
-
+
5377152 = 273111967
BaseRepresentation
bin10100100000110010000000
3101010012001210
4110200302000
52334032102
6311130120
763463554
oct24406200
911105053
105377152
113042a30
121973940
131163661
149dd864
1571336c
hex520c80

5377152 has 128 divisors (see below), whose sum is σ = 16646400. Its totient is φ = 1520640.

The previous prime is 5377121. The next prime is 5377153. The reversal of 5377152 is 2517735.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×53771522 = 57827527262208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5377153) 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, 80223 + ... + 80289.

It is an arithmetic number, because the mean of its divisors is an integer number (130050).

Almost surely, 25377152 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 5377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323200).

5377152 is an abundant number, since it is smaller than the sum of its proper divisors (11269248).

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

5377152 is a wasteful number, since it uses less digits than its factorization.

5377152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 7350, while the sum is 30.

The square root of 5377152 is about 2318.8686896847. The cubic root of 5377152 is about 175.1932776137.

The spelling of 5377152 in words is "five million, three hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 67 76 88 96 114 128 132 134 152 176 192 201 209 228 264 268 304 352 384 402 418 456 528 536 608 627 704 737 804 836 912 1056 1072 1216 1254 1273 1408 1474 1608 1672 1824 2112 2144 2211 2432 2508 2546 2948 3216 3344 3648 3819 4224 4288 4422 5016 5092 5896 6432 6688 7296 7638 8576 8844 10032 10184 11792 12864 13376 14003 15276 17688 20064 20368 23584 25728 26752 28006 30552 35376 40128 40736 42009 47168 56012 61104 70752 80256 81472 84018 94336 112024 122208 141504 162944 168036 224048 244416 283008 336072 448096 488832 672144 896192 1344288 1792384 2688576 5377152