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149054976 = 293274621
BaseRepresentation
bin10001110001001…
…10011000000000
3101101110202222200
420320212120000
5301124224401
622442433200
73456642420
oct1070463000
9341422880
10149054976
1177157234
1241b02800
1324b5aa15
1415b20480
15d144686
hex8e26600

149054976 has 120 divisors (see below), whose sum is σ = 491743824. Its totient is φ = 42577920.

The previous prime is 149054879. The next prime is 149054989. The reversal of 149054976 is 679450941.

149054976 is a `hidden beast` number, since 14 + 90 + 549 + 7 + 6 = 666.

149054976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29946 + ... + 34566.

Almost surely, 2149054976 is an apocalyptic number.

149054976 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 149054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245871912).

149054976 is an abundant number, since it is smaller than the sum of its proper divisors (342688848).

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

149054976 is an equidigital number, since it uses as much as digits as its factorization.

149054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 149054976 is about 12208.8073127558. The cubic root of 149054976 is about 530.2111132386.

It can be divided in two parts, 14905 and 4976, that added together give a square (19881 = 1412).

The spelling of 149054976 in words is "one hundred forty-nine million, fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 4621 5376 8064 9242 10752 13863 16128 18484 27726 32256 32347 36968 41589 55452 64694 73936 83178 97041 110904 129388 147872 166356 194082 221808 258776 291123 295744 332712 388164 443616 517552 582246 591488 665424 776328 887232 1035104 1164492 1182976 1330848 1552656 1774464 2070208 2328984 2365952 2661696 3105312 3548928 4140416 4657968 5323392 6210624 7097856 8280832 9315936 10646784 12421248 16561664 18631872 21293568 24842496 37263744 49684992 74527488 149054976