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29542890 = 2351325827
BaseRepresentation
bin111000010110…
…0100111101010
32001120221020010
41300230213222
530030333030
62533112350
7506052606
oct160544752
961527203
1029542890
1115749013
129a886b6
136174c00
143cd0506
1528d86b0
hex1c2c9ea

29542890 has 48 divisors (see below), whose sum is σ = 76789728. Its totient is φ = 7270848.

The previous prime is 29542861. The next prime is 29542901. The reversal of 29542890 is 9824592.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2157 + ... + 7983.

It is an arithmetic number, because the mean of its divisors is an integer number (1599786).

Almost surely, 229542890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29542890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38394864).

29542890 is an abundant number, since it is smaller than the sum of its proper divisors (47246838).

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

29542890 is a wasteful number, since it uses less digits than its factorization.

29542890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 29542890 is about 5435.3371560557. The cubic root of 29542890 is about 309.1370031656.

The spelling of 29542890 in words is "twenty-nine million, five hundred forty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 5827 11654 17481 29135 34962 58270 75751 87405 151502 174810 227253 378755 454506 757510 984763 1136265 1969526 2272530 2954289 4923815 5908578 9847630 14771445 29542890