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5498400 = 253522979
BaseRepresentation
bin10100111110011000100000
3101100100101110
4110332120200
52401422100
6313503320
764510215
oct24763040
911310343
105498400
113116036
121a11b40
1311a68bb
14a31b0c
15739250
hex53e620

5498400 has 144 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1397760.

The previous prime is 5498399. The next prime is 5498401. The reversal of 5498400 is 48945.

It is an interprime number because it is at equal distance from previous prime (5498399) and next prime (5498401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5498401) 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, 69561 + ... + 69639.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 25498400 is an apocalyptic number.

5498400 is a gapful number since it is divisible by the number (50) 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 5498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5498400 is an abundant number, since it is smaller than the sum of its proper divisors (13250400).

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

5498400 is a wasteful number, since it uses less digits than its factorization.

5498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5498400 is about 2344.8667339531. The cubic root of 5498400 is about 176.5002982658.

The spelling of 5498400 in words is "five million, four hundred ninety-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 75 79 80 87 96 100 116 120 145 150 158 160 174 200 232 237 240 290 300 316 348 395 400 435 464 474 480 580 600 632 696 725 790 800 870 928 948 1160 1185 1200 1264 1392 1450 1580 1740 1896 1975 2175 2291 2320 2370 2400 2528 2784 2900 3160 3480 3792 3950 4350 4582 4640 4740 5800 5925 6320 6873 6960 7584 7900 8700 9164 9480 11455 11600 11850 12640 13746 13920 15800 17400 18328 18960 22910 23200 23700 27492 31600 34365 34800 36656 37920 45820 47400 54984 57275 63200 68730 69600 73312 91640 94800 109968 114550 137460 171825 183280 189600 219936 229100 274920 343650 366560 458200 549840 687300 916400 1099680 1374600 1832800 2749200 5498400