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149000496 = 24367107433
BaseRepresentation
bin10001110000110…
…01000100110000
3101101101000020220
420320121010300
5301121003441
622441333040
73456324531
oct1070310460
9341330226
10149000496
117711a307
1241a97180
1324b3bc98
1415b08688
15d133466
hex8e19130

149000496 has 80 divisors (see below), whose sum is σ = 395224704. Its totient is φ = 48356352.

The previous prime is 149000479. The next prime is 149000497. The reversal of 149000496 is 694000941.

It is a super-2 number, since 2×1490004962 = 44402295616492032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149000497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343896 + ... + 344328.

Almost surely, 2149000496 is an apocalyptic number.

149000496 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 149000496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197612352).

149000496 is an abundant number, since it is smaller than the sum of its proper divisors (246224208).

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

149000496 is a wasteful number, since it uses less digits than its factorization.

149000496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 149000496 is about 12206.5759326684. The cubic root of 149000496 is about 530.1465074978.

The spelling of 149000496 in words is "one hundred forty-nine million, four hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 67 107 134 201 214 268 321 402 428 433 536 642 804 856 866 1072 1284 1299 1608 1712 1732 2568 2598 3216 3464 5136 5196 6928 7169 10392 14338 20784 21507 28676 29011 43014 46331 57352 58022 86028 87033 92662 114704 116044 138993 172056 174066 185324 232088 277986 344112 348132 370648 464176 555972 696264 741296 1111944 1392528 2223888 3104177 6208354 9312531 12416708 18625062 24833416 37250124 49666832 74500248 149000496