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150769232 = 2423247379
BaseRepresentation
bin10001111110010…
…00111001010000
3101111200212111122
420333020321100
5302044103412
622543301412
73510342305
oct1077107120
9344625448
10150769232
1178118179
12425aa868
132530b083
14160490ac
15d382572
hex8fc8e50

150769232 has 60 divisors (see below), whose sum is σ = 312688320. Its totient is φ = 70386624.

The previous prime is 150769219. The next prime is 150769273. The reversal of 150769232 is 232967051.

It is a super-2 number, since 2×1507692322 = 45462722635739648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150769192 and 150769201.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 397619 + ... + 397997.

It is an arithmetic number, because the mean of its divisors is an integer number (5211472).

Almost surely, 2150769232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150769232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156344160).

150769232 is an abundant number, since it is smaller than the sum of its proper divisors (161919088).

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

150769232 is a wasteful number, since it uses less digits than its factorization.

150769232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 150769232 is about 12278.8123204160. The cubic root of 150769232 is about 532.2359930622.

The spelling of 150769232 in words is "one hundred fifty million, seven hundred sixty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 379 529 752 758 1058 1081 1516 2116 2162 3032 4232 4324 6064 8464 8648 8717 17296 17434 17813 24863 34868 35626 49726 69736 71252 99452 139472 142504 198904 200491 285008 397808 400982 409699 801964 819398 1603928 1638796 3207856 3277592 6555184 9423077 18846154 37692308 75384616 150769232