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8252480 = 265173741
BaseRepresentation
bin11111011110110001000000
3120112021021102
4133132301000
54103034410
6452513532
7130100465
oct37366100
916467242
108252480
114727235
12291b8a8
13192c332
14114b66c
15ad02a5
hex7dec40

8252480 has 112 divisors (see below), whose sum is σ = 21890736. Its totient is φ = 2949120.

The previous prime is 8252459. The next prime is 8252509. The reversal of 8252480 is 842528.

It can be written as a sum of positive squares in 8 ways, for example, as 4096 + 8248384 = 64^2 + 2872^2 .

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, 201260 + ... + 201300.

It is an arithmetic number, because the mean of its divisors is an integer number (195453).

Almost surely, 28252480 is an apocalyptic number.

8252480 is a gapful number since it is divisible by the number (80) 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 8252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945368).

8252480 is an abundant number, since it is smaller than the sum of its proper divisors (13638256).

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

8252480 is a wasteful number, since it uses less digits than its factorization.

8252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 8252480 is about 2872.7130034168. The cubic root of 8252480 is about 202.0822460234.

The spelling of 8252480 in words is "eight million, two hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 41 64 68 74 80 82 85 136 148 160 164 170 185 205 272 296 320 328 340 370 410 544 592 629 656 680 697 740 820 1088 1184 1258 1312 1360 1394 1480 1517 1640 2368 2516 2624 2720 2788 2960 3034 3145 3280 3485 5032 5440 5576 5920 6068 6290 6560 6970 7585 10064 11152 11840 12136 12580 13120 13940 15170 20128 22304 24272 25160 25789 27880 30340 40256 44608 48544 50320 51578 55760 60680 97088 100640 103156 111520 121360 128945 201280 206312 223040 242720 257890 412624 485440 515780 825248 1031560 1650496 2063120 4126240 8252480