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149498496 = 2732718539
BaseRepresentation
bin10001110100100…
…10101010000000
3101102022022101100
420322102222000
5301232422441
622500134400
73463500450
oct1072225200
9342268340
10149498496
117742a484
1242097400
1324c84864
1415bd7d60
15d1d0cb6
hex8e92a80

149498496 has 96 divisors (see below), whose sum is σ = 491680800. Its totient is φ = 42711552.

The previous prime is 149498477. The next prime is 149498497. The reversal of 149498496 is 694894941.

It is a happy number.

149498496 is a `hidden beast` number, since 149 + 4 + 9 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (149498497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1206 + ... + 17333.

It is an arithmetic number, because the mean of its divisors is an integer number (5121675).

Almost surely, 2149498496 is an apocalyptic number.

149498496 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 149498496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245840400).

149498496 is an abundant number, since it is smaller than the sum of its proper divisors (342182304).

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

149498496 is a wasteful number, since it uses less digits than its factorization.

149498496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18566 (or 18551 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 149498496 is about 12226.9577573491. The cubic root of 149498496 is about 530.7364817562.

The spelling of 149498496 in words is "one hundred forty-nine million, four hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 18539 37078 55617 74156 111234 129773 148312 166851 222468 259546 296624 333702 389319 444936 519092 593248 667404 778638 889872 1038184 1167957 1186496 1334808 1557276 1779744 2076368 2335914 2372992 2669616 3114552 3559488 4152736 4671828 5339232 6229104 7118976 8305472 9343656 10678464 12458208 16610944 18687312 21356928 24916416 37374624 49832832 74749248 149498496