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166538496 = 28319101113
BaseRepresentation
bin10011110110100…
…10110100000000
3102121101000212110
421323102310000
5320113212441
624305255320
74061360655
oct1173226400
9377330773
10166538496
1186008923
1247934540
132866c8b7
1418191c2c
15e949b16
hex9ed2d00

166538496 has 144 divisors (see below), whose sum is σ = 475352640. Its totient is φ = 51609600.

The previous prime is 166538467. The next prime is 166538497. The reversal of 166538496 is 694835661.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166538497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473736 + ... + 1473848.

It is an arithmetic number, because the mean of its divisors is an integer number (3301060).

Almost surely, 2166538496 is an apocalyptic number.

166538496 is a gapful number since it is divisible by the number (16) 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 166538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237676320).

166538496 is an abundant number, since it is smaller than the sum of its proper divisors (308814144).

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

166538496 is a wasteful number, since it uses less digits than its factorization.

166538496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 166538496 is about 12904.9795040519. The cubic root of 166538496 is about 550.1801018993.

The spelling of 166538496 in words is "one hundred sixty-six million, five hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 101 113 114 128 152 192 202 226 228 256 303 304 339 384 404 452 456 606 608 678 768 808 904 912 1212 1216 1356 1616 1808 1824 1919 2147 2424 2432 2712 3232 3616 3648 3838 4294 4848 4864 5424 5757 6441 6464 7232 7296 7676 8588 9696 10848 11413 11514 12882 12928 14464 14592 15352 17176 19392 21696 22826 23028 25764 25856 28928 30704 34239 34352 38784 43392 45652 46056 51528 61408 68478 68704 77568 86784 91304 92112 103056 122816 136956 137408 182608 184224 206112 216847 245632 273912 274816 365216 368448 412224 433694 491264 547824 549632 650541 730432 736896 824448 867388 1095648 1301082 1460864 1473792 1648896 1734776 2191296 2602164 2921728 3469552 4382592 5204328 6939104 8765184 10408656 13878208 20817312 27756416 41634624 55512832 83269248 166538496