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150196752 = 24321795827
BaseRepresentation
bin10001111001111…
…01001000010000
3101110121210012200
420330331020100
5301422244002
622523123200
73502436256
oct1074751020
9343553180
10150196752
1177867052
1242373500
132516a624
1415d3a5d6
15d2bcb1c
hex8f3d210

150196752 has 60 divisors (see below), whose sum is σ = 422763120. Its totient is φ = 49777344.

The previous prime is 150196747. The next prime is 150196759. The reversal of 150196752 is 257691051.

It is a super-2 number, since 2×1501967522 = 45118128622699008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (150196759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22863 + ... + 28689.

It is an arithmetic number, because the mean of its divisors is an integer number (7046052).

Almost surely, 2150196752 is an apocalyptic number.

150196752 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 150196752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211381560).

150196752 is an abundant number, since it is smaller than the sum of its proper divisors (272566368).

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

150196752 is a wasteful number, since it uses less digits than its factorization.

150196752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 150196752 is about 12255.4784484328. The cubic root of 150196752 is about 531.5614944246.

The spelling of 150196752 in words is "one hundred fifty million, one hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 3222 4296 5827 6444 8592 11654 12888 17481 23308 25776 34962 46616 52443 69924 93232 104886 139848 209772 279696 419544 839088 1043033 2086066 3129099 4172132 6258198 8344264 9387297 12516396 16688528 18774594 25032792 37549188 50065584 75098376 150196752