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142926816 = 25319127617
BaseRepresentation
bin10001000010011…
…10001111100000
3100221221102201210
420201032033200
5243042124231
622103230120
73353600154
oct1041161740
9327842653
10142926816
117375103a
123ba48340
13237c35a6
1414da7064
15c833a46
hex884e3e0

142926816 has 96 divisors (see below), whose sum is σ = 398684160. Its totient is φ = 44706816.

The previous prime is 142926809. The next prime is 142926821. The reversal of 142926816 is 618629241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (41472) is a multiple of the sum of its prime divisors (768).

It is a congruent number.

It is an unprimeable number.

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, 231340 + ... + 231956.

It is an arithmetic number, because the mean of its divisors is an integer number (4152960).

Almost surely, 2142926816 is an apocalyptic number.

142926816 is a gapful number since it is divisible by the number (16) 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 142926816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199342080).

142926816 is an abundant number, since it is smaller than the sum of its proper divisors (255757344).

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

142926816 is a wasteful number, since it uses less digits than its factorization.

142926816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 142926816 is about 11955.2003747323. The cubic root of 142926816 is about 522.8429298722.

The spelling of 142926816 in words is "one hundred forty-two million, nine hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 127 152 228 254 304 381 456 508 608 617 762 912 1016 1234 1524 1824 1851 2032 2413 2468 3048 3702 4064 4826 4936 6096 7239 7404 9652 9872 11723 12192 14478 14808 19304 19744 23446 28956 29616 35169 38608 46892 57912 59232 70338 77216 78359 93784 115824 140676 156718 187568 231648 235077 281352 313436 375136 470154 562704 626872 940308 1125408 1253744 1488821 1880616 2507488 2977642 3761232 4466463 5955284 7522464 8932926 11910568 17865852 23821136 35731704 47642272 71463408 142926816