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150853428 = 2236114703
BaseRepresentation
bin10001111110111…
…01011100110100
3101111212011000000
420333131130310
5302104302203
622545151300
73511142625
oct1077353464
9344764000
10150853428
1178175460
124262b530
132533a4ab
141606ba4c
15d39c4a3
hex8fdd734

150853428 has 84 divisors (see below), whose sum is σ = 431883648. Its totient is φ = 45703440.

The previous prime is 150853399. The next prime is 150853429. The reversal of 150853428 is 824358051.

It is a happy number.

150853428 is a `hidden beast` number, since 150 + 85 + 3 + 428 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150853392 and 150853401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150853429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29725 + ... + 34427.

It is an arithmetic number, because the mean of its divisors is an integer number (5141472).

Almost surely, 2150853428 is an apocalyptic number.

150853428 is a gapful number since it is divisible by the number (18) 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 150853428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215941824).

150853428 is an abundant number, since it is smaller than the sum of its proper divisors (281030220).

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

150853428 is a wasteful number, since it uses less digits than its factorization.

150853428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 150853428 is about 12282.2403493825. The cubic root of 150853428 is about 532.3350490875.

Subtracting from 150853428 its product of nonzero digits (38400), we obtain a triangular number (150815028 = T17367).

The spelling of 150853428 in words is "one hundred fifty million, eight hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2673 2916 3564 4703 5346 8019 9406 10692 14109 16038 18812 28218 32076 42327 51733 56436 84654 103466 126981 155199 169308 206932 253962 310398 380943 465597 507924 620796 761886 931194 1142829 1396791 1523772 1862388 2285658 2793582 3428487 4190373 4571316 5587164 6856974 8380746 12571119 13713948 16761492 25142238 37713357 50284476 75426714 150853428