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149022848 = 27132832
BaseRepresentation
bin10001110000111…
…10100010000000
3101101102010220202
420320132202000
5301122212343
622442024332
73456446642
oct1070364200
9341363822
10149022848
1177135087
1241aa80a8
1324b49200
1415b12892
15d139db8
hex8e1e880

149022848 has 72 divisors (see below), whose sum is σ = 325395045. Its totient is φ = 67951104.

The previous prime is 149022847. The next prime is 149022869. The reversal of 149022848 is 848220941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 127418944 + 21603904 = 11288^2 + 4648^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8632.

It is a super-2 number, since 2×1490228482 = 44415618452062208, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149022847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1795415 + ... + 1795497.

Almost surely, 2149022848 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 149022848

149022848 is an abundant number, since it is smaller than the sum of its proper divisors (176372197).

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

149022848 is an frugal number, since it uses more digits than its factorization.

149022848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 149022848 is about 12207.4914704046. The cubic root of 149022848 is about 530.1730157815.

The spelling of 149022848 in words is "one hundred forty-nine million, twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 128 166 169 208 332 338 416 664 676 832 1079 1328 1352 1664 2158 2656 2704 4316 5312 5408 6889 8632 10624 10816 13778 14027 17264 21632 27556 28054 34528 55112 56108 69056 89557 110224 112216 138112 179114 220448 224432 358228 440896 448864 716456 881792 897728 1164241 1432912 1795456 2328482 2865824 4656964 5731648 9313928 11463296 18627856 37255712 74511424 149022848