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5377848 = 2337217269
BaseRepresentation
bin10100100000111100111000
3101010020000120
4110200330320
52334042343
6311133240
763465600
oct24407470
911106016
105377848
113043503
121974220
131163a78
149ddc00
15713683
hex520f38

5377848 has 96 divisors (see below), whose sum is σ = 16621200. Its totient is φ = 1440768.

The previous prime is 5377843. The next prime is 5377861. The reversal of 5377848 is 8487735.

It is a super-2 number, since 2×53778482 = 57842498222208, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 57 + 39 + 72 + 77 + 87 + 49 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5377843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19858 + ... + 20126.

Almost surely, 25377848 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 5377848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310600).

5377848 is an abundant number, since it is smaller than the sum of its proper divisors (11243352).

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

5377848 is a wasteful number, since it uses less digits than its factorization.

5377848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 5377848 is about 2319.0187580095. The cubic root of 5377848 is about 175.2008360920.

It can be divided in two parts, 537 and 7848, that added together give a triangular number (8385 = T129).

The spelling of 5377848 in words is "five million, three hundred seventy-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 269 294 357 392 408 476 538 588 714 807 833 952 1076 1176 1428 1614 1666 1883 2152 2499 2856 3228 3332 3766 4573 4998 5649 6456 6664 7532 9146 9996 11298 13181 13719 15064 18292 19992 22596 26362 27438 32011 36584 39543 45192 52724 54876 64022 79086 96033 105448 109752 128044 158172 192066 224077 256088 316344 384132 448154 672231 768264 896308 1344462 1792616 2688924 5377848