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151742892 = 223719313067
BaseRepresentation
bin10010000101101…
…10100110101100
3101120112100010010
421002312212230
5302321233032
623020213220
73521536050
oct1102664654
9346470103
10151742892
1178722754
124299a210
132558c2c2
141621dc60
15d4c5ccc
hex90b69ac

151742892 has 96 divisors (see below), whose sum is σ = 439828480. Its totient is φ = 39735360.

The previous prime is 151742863. The next prime is 151742893. The reversal of 151742892 is 298247151.

It is a self number, because there is not a number n which added to its sum of digits gives 151742892.

It is not an unprimeable number, because it can be changed into a prime (151742893) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 47943 + ... + 51009.

Almost surely, 2151742892 is an apocalyptic number.

151742892 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 151742892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219914240).

151742892 is an abundant number, since it is smaller than the sum of its proper divisors (288085588).

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

151742892 is a wasteful number, since it uses less digits than its factorization.

151742892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3129 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 151742892 is about 12318.3964865562. The cubic root of 151742892 is about 533.3792531643.

The spelling of 151742892 in words is "one hundred fifty-one million, seven hundred forty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 1178 1302 1596 1767 2356 2604 3067 3534 4123 6134 7068 8246 9201 12268 12369 16492 18402 21469 24738 36804 42938 49476 58273 64407 85876 95077 116546 128814 174819 190154 233092 257628 285231 349638 380308 407911 570462 665539 699276 815822 1140924 1223733 1331078 1631644 1806463 1996617 2447466 2662156 3612926 3993234 4894932 5419389 7225852 7986468 10838778 12645241 21677556 25290482 37935723 50580964 75871446 151742892