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149710848 = 21137592
BaseRepresentation
bin10001110110001…
…10100000000000
3101102201002200020
420323012200000
5301311221343
622504453440
73465343530
oct1073064000
9342632606
10149710848
1177564a81
124217a280
132502a401
1415c514c0
15d223b83
hex8ec6800

149710848 has 144 divisors (see below), whose sum is σ = 464012640. Its totient is φ = 42049536.

The previous prime is 149710837. The next prime is 149710901. The reversal of 149710848 is 848017941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2537443 + ... + 2537501.

It is an arithmetic number, because the mean of its divisors is an integer number (3222310).

Almost surely, 2149710848 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 149710848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232006320).

149710848 is an abundant number, since it is smaller than the sum of its proper divisors (314301792).

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

149710848 is an frugal number, since it uses more digits than its factorization.

149710848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 149710848 is about 12235.6384385940. The cubic root of 149710848 is about 530.9876540339.

Multiplying 149710848 by its sum of digits (42), we get a square (6287855616 = 792962).

149710848 divided by its sum of digits (42) gives a square (3564544 = 18882).

The spelling of 149710848 in words is "one hundred forty-nine million, seven hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 168 177 192 224 236 256 336 354 384 413 448 472 512 672 708 768 826 896 944 1024 1239 1344 1416 1536 1652 1792 1888 2048 2478 2688 2832 3072 3304 3481 3584 3776 4956 5376 5664 6144 6608 6962 7168 7552 9912 10443 10752 11328 13216 13924 14336 15104 19824 20886 21504 22656 24367 26432 27848 30208 39648 41772 43008 45312 48734 52864 55696 60416 73101 79296 83544 90624 97468 105728 111392 120832 146202 158592 167088 181248 194936 211456 222784 292404 317184 334176 362496 389872 422912 445568 584808 634368 668352 779744 845824 891136 1169616 1268736 1336704 1559488 1782272 2339232 2537472 2673408 3118976 3564544 4678464 5346816 6237952 7129088 9356928 10693632 12475904 18713856 21387264 24951808 37427712 49903616 74855424 149710848