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5692200 = 2335253179
BaseRepresentation
bin10101101101101100101000
3101201012020020
4111231230220
52424122300
6322000440
766245223
oct25555450
911635206
105692200
1132386a8
121aa6120
131243b87
14a825ba
157768a0
hex56db28

5692200 has 96 divisors (see below), whose sum is σ = 18079200. Its totient is φ = 1480960.

The previous prime is 5692199. The next prime is 5692243. The reversal of 5692200 is 22965.

It is a super-2 number, since 2×56922002 = 64802281680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31711 + ... + 31889.

It is an arithmetic number, because the mean of its divisors is an integer number (188325).

Almost surely, 25692200 is an apocalyptic number.

5692200 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 5692200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039600).

5692200 is an abundant number, since it is smaller than the sum of its proper divisors (12387000).

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

5692200 is a wasteful number, since it uses less digits than its factorization.

5692200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5692200 is about 2385.8331877983. The cubic root of 5692200 is about 178.5500804956.

The spelling of 5692200 in words is "five million, six hundred ninety-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 179 200 212 265 300 318 358 424 530 537 600 636 716 795 895 1060 1074 1272 1325 1432 1590 1790 2120 2148 2650 2685 3180 3580 3975 4296 4475 5300 5370 6360 7160 7950 8950 9487 10600 10740 13425 15900 17900 18974 21480 26850 28461 31800 35800 37948 47435 53700 56922 75896 94870 107400 113844 142305 189740 227688 237175 284610 379480 474350 569220 711525 948700 1138440 1423050 1897400 2846100 5692200