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142052208 = 243192941131
BaseRepresentation
bin10000111011110…
…00101101110000
3100220021222222220
420131320231300
5242331132313
622032401040
73343265244
oct1035705560
9326258886
10142052208
1173203a21
123b6a6180
132357847c
1414c1a424
15c70e823
hex8778b70

142052208 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 41932800.

The previous prime is 142052171. The next prime is 142052231. The reversal of 142052208 is 802250241.

142052208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084303 + ... + 1084433.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2142052208 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 142052208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

142052208 is an abundant number, since it is smaller than the sum of its proper divisors (270421392).

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

142052208 is a wasteful number, since it uses less digits than its factorization.

142052208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 142052208 is about 11918.5656855177. The cubic root of 142052208 is about 521.7742744781.

It can be divided in two parts, 1420 and 52208, that added together give a triangular number (53628 = T327).

The spelling of 142052208 in words is "one hundred forty-two million, fifty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 41 48 57 58 76 82 87 114 116 123 131 152 164 174 228 232 246 262 304 328 348 393 456 464 492 524 551 656 696 779 786 912 984 1048 1102 1189 1392 1558 1572 1653 1968 2096 2204 2337 2378 2489 3116 3144 3306 3567 3799 4408 4674 4756 4978 5371 6232 6288 6612 7134 7467 7598 8816 9348 9512 9956 10742 11397 12464 13224 14268 14934 15196 16113 18696 19024 19912 21484 22591 22794 26448 28536 29868 30392 32226 37392 39824 42968 45182 45588 57072 59736 60784 64452 67773 72181 85936 90364 91176 102049 119472 128904 135546 144362 155759 180728 182352 204098 216543 257808 271092 288724 306147 311518 361456 408196 433086 467277 542184 577448 612294 623036 816392 866172 934554 1084368 1154896 1224588 1246072 1632784 1732344 1869108 2449176 2492144 2959421 3464688 3738216 4898352 5918842 7476432 8878263 11837684 17756526 23675368 35513052 47350736 71026104 142052208