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149822976 = 293103947
BaseRepresentation
bin10001110111000…
…01111000000000
3101102220210111010
420323201320000
5301323313401
622511120520
73466321452
oct1073417000
9342823433
10149822976
1177631246
1242213140
1325069464
1415c802d2
15d246ed6
hex8ee1e00

149822976 has 80 divisors (see below), whose sum is σ = 403438464. Its totient is φ = 49403904.

The previous prime is 149822941. The next prime is 149822983. The reversal of 149822976 is 679228941.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157735 + ... + 158681.

Almost surely, 2149822976 is an apocalyptic number.

149822976 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 149822976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201719232).

149822976 is an abundant number, since it is smaller than the sum of its proper divisors (253615488).

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

149822976 is an equidigital number, since it uses as much as digits as its factorization.

149822976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 149822976 is about 12240.2196058731. The cubic root of 149822976 is about 531.1201844563.

The spelling of 149822976 in words is "one hundred forty-nine million, eight hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 947 1236 1536 1648 1894 2472 2841 3296 3788 4944 5682 6592 7576 9888 11364 13184 15152 19776 22728 26368 30304 39552 45456 52736 60608 79104 90912 97541 121216 158208 181824 195082 242432 292623 363648 390164 484864 585246 727296 780328 1170492 1454592 1560656 2340984 3121312 4681968 6242624 9363936 12485248 18727872 24970496 37455744 49940992 74911488 149822976