Search a number
-
+
5202048 = 273192331
BaseRepresentation
bin10011110110000010000000
3100210021212110
4103312002000
52312431143
6303255320
762134215
oct23660200
910707773
105202048
112a33415
1218aa540
131101a47
14995b0c
156cb533
hex4f6080

5202048 has 128 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 1520640.

The previous prime is 5202023. The next prime is 5202073. The reversal of 5202048 is 8402025.

It is an interprime number because it is at equal distance from previous prime (5202023) and next prime (5202073).

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

It is a super-2 number, since 2×52020482 = 54122606788608, which contains 22 as substring.

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, 167793 + ... + 167823.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 25202048 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 5202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833600).

5202048 is an abundant number, since it is smaller than the sum of its proper divisors (10465152).

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

5202048 is a wasteful number, since it uses less digits than its factorization.

5202048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5202048 is about 2280.7998596983. The cubic root of 5202048 is about 173.2705624122.

The spelling of 5202048 in words is "five million, two hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 31 32 38 46 48 57 62 64 69 76 92 93 96 114 124 128 138 152 184 186 192 228 248 276 304 368 372 384 437 456 496 552 589 608 713 736 744 874 912 992 1104 1178 1216 1311 1426 1472 1488 1748 1767 1824 1984 2139 2208 2356 2432 2622 2852 2944 2976 3496 3534 3648 3968 4278 4416 4712 5244 5704 5952 6992 7068 7296 8556 8832 9424 10488 11408 11904 13547 13984 14136 17112 18848 20976 22816 27094 27968 28272 34224 37696 40641 41952 45632 54188 55936 56544 68448 75392 81282 83904 91264 108376 113088 136896 162564 167808 216752 226176 273792 325128 433504 650256 867008 1300512 1734016 2601024 5202048