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150493504 = 2672371297
BaseRepresentation
bin10001111100001…
…01100101000000
3101111011212021111
420332011211000
5302011243004
622533333104
73505113400
oct1076054500
9344155244
10150493504
1177a49aa7
1242497194
1325242715
1415db6800
15d32aa04
hex8f85940

150493504 has 84 divisors (see below), whose sum is σ = 357056436. Its totient is φ = 62705664.

The previous prime is 150493501. The next prime is 150493523. The reversal of 150493504 is 405394051.

It can be written as a sum of positive squares in 2 ways, for example, as 144961600 + 5531904 = 12040^2 + 2352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150493501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115384 + ... + 116680.

Almost surely, 2150493504 is an apocalyptic number.

150493504 is a gapful number since it is divisible by the number (14) 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 150493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178528218).

150493504 is an abundant number, since it is smaller than the sum of its proper divisors (206562932).

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

150493504 is a wasteful number, since it uses less digits than its factorization.

150493504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 150493504 is about 12267.5793863337. The cubic root of 150493504 is about 531.9113425668.

The spelling of 150493504 in words is "one hundred fifty million, four hundred ninety-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 148 196 224 259 296 392 448 518 592 784 1036 1184 1297 1568 1813 2072 2368 2594 3136 3626 4144 5188 7252 8288 9079 10376 14504 16576 18158 20752 29008 36316 41504 47989 58016 63553 72632 83008 95978 116032 127106 145264 191956 254212 290528 335923 383912 508424 581056 671846 767824 1016848 1343692 1535648 2033696 2351461 2687384 3071296 4067392 4702922 5374768 9405844 10749536 18811688 21499072 37623376 75246752 150493504