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150502272 = 2733147269
BaseRepresentation
bin10001111100001…
…11101110000000
3101111012022022020
420332013232000
5302012033042
622533441440
73505151064
oct1076075600
9344168266
10150502272
1177a55648
12424a0280
13252466cb
1415db9aa4
15d32d3ec
hex8f87b80

150502272 has 128 divisors (see below), whose sum is σ = 423014400. Its totient is φ = 47339520.

The previous prime is 150502259. The next prime is 150502277. The reversal of 150502272 is 272205051.

150502272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150502277) 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 15 ways as a sum of consecutive naturals, for example, 559354 + ... + 559622.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2150502272 is an apocalyptic number.

150502272 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 150502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

150502272 is an abundant number, since it is smaller than the sum of its proper divisors (272512128).

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

150502272 is a wasteful number, since it uses less digits than its factorization.

150502272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 150502272 is about 12267.9367458428. The cubic root of 150502272 is about 531.9216723772.

The spelling of 150502272 in words is "one hundred fifty million, five hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 128 141 186 188 192 248 269 282 372 376 384 496 538 564 744 752 807 992 1076 1128 1457 1488 1504 1614 1984 2152 2256 2914 2976 3008 3228 3968 4304 4371 4512 5828 5952 6016 6456 8339 8608 8742 9024 11656 11904 12643 12912 16678 17216 17484 18048 23312 25017 25286 25824 33356 34432 34968 37929 46624 50034 50572 51648 66712 69936 75858 93248 100068 101144 103296 133424 139872 151716 186496 200136 202288 266848 279744 303432 391933 400272 404576 533696 559488 606864 783866 800544 809152 1067392 1175799 1213728 1567732 1601088 1618304 2351598 2427456 3135464 3202176 4703196 4854912 6270928 9406392 12541856 18812784 25083712 37625568 50167424 75251136 150502272