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142619808 = 2534773433
BaseRepresentation
bin10001000000000…
…11010010100000
3100221100211121010
420200003102200
5243002313213
622052500520
73351151122
oct1040032240
9327324533
10142619808
1173561411
123b91a740
1323716926
1414d27212
15c7c2ac3
hex88034a0

142619808 has 96 divisors (see below), whose sum is σ = 388475136. Its totient is φ = 45785088.

The previous prime is 142619797. The next prime is 142619819. The reversal of 142619808 is 808916241.

It is an interprime number because it is at equal distance from previous prime (142619797) and next prime (142619819).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329160 + ... + 329592.

It is an arithmetic number, because the mean of its divisors is an integer number (4046616).

Almost surely, 2142619808 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 142619808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194237568).

142619808 is an abundant number, since it is smaller than the sum of its proper divisors (245855328).

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

142619808 is a wasteful number, since it uses less digits than its factorization.

142619808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 142619808 is about 11942.3535368871. The cubic root of 142619808 is about 522.4683045111.

The spelling of 142619808 in words is "one hundred forty-two million, six hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 73 94 96 141 146 188 219 282 292 376 433 438 564 584 752 866 876 1128 1168 1299 1504 1732 1752 2256 2336 2598 3431 3464 3504 4512 5196 6862 6928 7008 10293 10392 13724 13856 20351 20586 20784 27448 31609 40702 41172 41568 54896 61053 63218 81404 82344 94827 109792 122106 126436 162808 164688 189654 244212 252872 325616 329376 379308 488424 505744 651232 758616 976848 1011488 1485623 1517232 1953696 2971246 3034464 4456869 5942492 8913738 11884984 17827476 23769968 35654952 47539936 71309904 142619808