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151929528 = 23361157661
BaseRepresentation
bin10010000111001…
…00001010111000
3101120212211010120
421003210022320
5302343221103
623024213240
73523244142
oct1103441270
9346784116
10151929528
117883a9a3
1242a6a220
132562623a
141626bc92
15d511253
hex90e42b8

151929528 has 64 divisors (see below), whose sum is σ = 389097120. Its totient is φ = 49420800.

The previous prime is 151929523. The next prime is 151929551. The reversal of 151929528 is 825929151.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 151929528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151929523) 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 15 ways as a sum of consecutive naturals, for example, 229518 + ... + 230178.

Almost surely, 2151929528 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 151929528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194548560).

151929528 is an abundant number, since it is smaller than the sum of its proper divisors (237167592).

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

151929528 is a wasteful number, since it uses less digits than its factorization.

151929528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 884 counting only the distinct ones).

The product of its digits is 64800, while the sum is 42.

The square root of 151929528 is about 12325.9696575969. The cubic root of 151929528 is about 533.5978399768.

The spelling of 151929528 in words is "one hundred fifty-one million, nine hundred twenty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 157 183 244 314 366 471 488 628 661 732 942 1256 1322 1464 1884 1983 2644 3768 3966 5288 7932 9577 15864 19154 28731 38308 40321 57462 76616 80642 103777 114924 120963 161284 207554 229848 241926 311331 322568 415108 483852 622662 830216 967704 1245324 2490648 6330397 12660794 18991191 25321588 37982382 50643176 75964764 151929528