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149719296 = 283383509
BaseRepresentation
bin10001110110010…
…00100100000000
3101102201112021010
420323020210000
5301312004141
622505000520
73465410256
oct1073104400
9342645233
10149719296
1177570361
1242183140
13250311cc
1415c545d6
15d226416
hex8ec8900

149719296 has 72 divisors (see below), whose sum is σ = 400296960. Its totient is φ = 49678336.

The previous prime is 149719267. The next prime is 149719303. The reversal of 149719296 is 692917941.

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

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, 293890 + ... + 294398.

It is an arithmetic number, because the mean of its divisors is an integer number (5559680).

Almost surely, 2149719296 is an apocalyptic number.

149719296 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 149719296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200148480).

149719296 is an abundant number, since it is smaller than the sum of its proper divisors (250577664).

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

149719296 is an equidigital number, since it uses as much as digits as its factorization.

149719296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 897 counting only the distinct ones).

The product of its digits is 244944, while the sum is 48.

The square root of 149719296 is about 12235.9836547782. The cubic root of 149719296 is about 530.9976415073.

The spelling of 149719296 in words is "one hundred forty-nine million, seven hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 383 384 509 766 768 1018 1149 1527 1532 2036 2298 3054 3064 4072 4596 6108 6128 8144 9192 12216 12256 16288 18384 24432 24512 32576 36768 48864 49024 65152 73536 97728 98048 130304 147072 194947 195456 294144 389894 390912 584841 779788 1169682 1559576 2339364 3119152 4678728 6238304 9357456 12476608 18714912 24953216 37429824 49906432 74859648 149719296