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149378832 = 243231109307
BaseRepresentation
bin10001110011101…
…01011100010000
3101102002020020100
420321311130100
5301220110312
622453412400
73462461541
oct1071653420
9342066210
10149378832
1177358589
124203a100
1324c42255
1415ba64c8
15d1aa5dc
hex8e75710

149378832 has 120 divisors (see below), whose sum is σ = 436916480. Its totient is φ = 47589120.

The previous prime is 149378807. The next prime is 149378837. The reversal of 149378832 is 238873941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149378837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486423 + ... + 486729.

Almost surely, 2149378832 is an apocalyptic number.

149378832 is a gapful number since it is divisible by the number (12) 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 149378832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218458240).

149378832 is an abundant number, since it is smaller than the sum of its proper divisors (287537648).

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

149378832 is a wasteful number, since it uses less digits than its factorization.

149378832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 149378832 is about 12222.0633282601. The cubic root of 149378832 is about 530.5948370690.

The spelling of 149378832 in words is "one hundred forty-nine million, three hundred seventy-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 109 124 144 186 218 248 279 307 327 372 436 496 558 614 654 744 872 921 981 1116 1228 1308 1488 1744 1842 1962 2232 2456 2616 2763 3379 3684 3924 4464 4912 5232 5526 6758 7368 7848 9517 10137 11052 13516 14736 15696 19034 20274 22104 27032 28551 30411 33463 38068 40548 44208 54064 57102 60822 66926 76136 81096 85653 100389 114204 121644 133852 152272 162192 171306 200778 228408 243288 267704 301167 342612 401556 456816 486576 535408 602334 685224 803112 1037353 1204668 1370448 1606224 2074706 2409336 3112059 4149412 4818672 6224118 8298824 9336177 12448236 16597648 18672354 24896472 37344708 49792944 74689416 149378832