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149348208 = 24319831973
BaseRepresentation
bin10001110011011…
…01111101110000
3101102000200020010
420321231331300
5301213120313
622453014520
73462303342
oct1071557560
9342020203
10149348208
1177337579
1242024440
1324c31329
1415b99292
15d1a14c3
hex8e6df70

149348208 has 80 divisors (see below), whose sum is σ = 411223680. Its totient is φ = 46570752.

The previous prime is 149348183. The next prime is 149348209. The reversal of 149348208 is 802843941.

It is a super-2 number, since 2×1493482082 = 44609774465622528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149348209) 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, 74710 + ... + 76682.

It is an arithmetic number, because the mean of its divisors is an integer number (5140296).

Almost surely, 2149348208 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 149348208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205611840).

149348208 is an abundant number, since it is smaller than the sum of its proper divisors (261875472).

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

149348208 is a wasteful number, since it uses less digits than its factorization.

149348208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 149348208 is about 12220.8104477567. The cubic root of 149348208 is about 530.5585756911.

The spelling of 149348208 in words is "one hundred forty-nine million, three hundred forty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 228 249 304 332 456 498 664 912 996 1328 1577 1973 1992 3154 3946 3984 4731 5919 6308 7892 9462 11838 12616 15784 18924 23676 25232 31568 37487 37848 47352 74974 75696 94704 112461 149948 163759 224922 299896 327518 449844 491277 599792 655036 899688 982554 1310072 1799376 1965108 2620144 3111421 3930216 6222842 7860432 9334263 12445684 18668526 24891368 37337052 49782736 74674104 149348208