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148729344 = 293372617
BaseRepresentation
bin10001101110101…
…10111000000000
3101100212020022020
420313112320000
5301033314334
622431441440
73454115151
oct1067267000
9340766266
10148729344
1176a54615
1241986280
1324a7573a
1415a77928
15d0cce49
hex8dd6e00

148729344 has 80 divisors (see below), whose sum is σ = 407088528. Its totient is φ = 48218112.

The previous prime is 148729337. The next prime is 148729367. The reversal of 148729344 is 443927841.

It is a junction number, because it is equal to n+sod(n) for n = 148729296 and 148729305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55524 + ... + 58140.

Almost surely, 2148729344 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 148729344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203544264).

148729344 is an abundant number, since it is smaller than the sum of its proper divisors (258359184).

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

148729344 is an equidigital number, since it uses as much as digits as its factorization.

148729344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2659 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 148729344 is about 12195.4640748108. The cubic root of 148729344 is about 529.8247242887.

The spelling of 148729344 in words is "one hundred forty-eight million, seven hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2368 2617 3552 4736 5234 7104 7851 9472 10468 14208 15702 18944 20936 28416 31404 41872 56832 62808 83744 96829 125616 167488 193658 251232 290487 334976 387316 502464 580974 669952 774632 1004928 1161948 1339904 1549264 2009856 2323896 3098528 4019712 4647792 6197056 9295584 12394112 18591168 24788224 37182336 49576448 74364672 148729344