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150417664 = 282920261
BaseRepresentation
bin10001111011100…
…11000100000000
3101111001000020121
420331303010000
5302001331124
622531550024
73504346315
oct1075630400
9344030217
10150417664
11779a8021
124245b314
1325217047
1415d96d0c
15d3132e4
hex8f73100

150417664 has 36 divisors (see below), whose sum is σ = 310616460. Its totient is φ = 72611840.

The previous prime is 150417653. The next prime is 150417667. The reversal of 150417664 is 466714051.

It can be written as a sum of positive squares in 2 ways, for example, as 29593600 + 120824064 = 5440^2 + 10992^2 .

It is not an unprimeable number, because it can be changed into a prime (150417667) 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 3 ways as a sum of consecutive naturals, for example, 2707 + ... + 17554.

It is an arithmetic number, because the mean of its divisors is an integer number (8628235).

Almost surely, 2150417664 is an apocalyptic number.

It is an amenable number.

150417664 is an abundant number, since it is smaller than the sum of its proper divisors (160198796).

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

150417664 is an equidigital number, since it uses as much as digits as its factorization.

150417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20306 (or 20292 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 150417664 is about 12264.4879224532. The cubic root of 150417664 is about 531.8219767284.

The spelling of 150417664 in words is "one hundred fifty million, four hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 20261 40522 81044 162088 324176 587569 648352 1175138 1296704 2350276 2593408 4700552 5186816 9401104 18802208 37604416 75208832 150417664