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29742390 = 234573503
BaseRepresentation
bin111000101110…
…1010100110110
32001222001220000
41301131110312
530103224030
62541252130
7510543336
oct161352466
961861800
1029742390
1115874997
129b64046
136214962
143d430c6
152927860
hex1c5d536

29742390 has 80 divisors (see below), whose sum is σ = 81230688. Its totient is φ = 7807104.

The previous prime is 29742389. The next prime is 29742409. The reversal of 29742390 is 9324792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58879 + ... + 59381.

Almost surely, 229742390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29742390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40615344).

29742390 is an abundant number, since it is smaller than the sum of its proper divisors (51488298).

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

29742390 is a wasteful number, since it uses less digits than its factorization.

29742390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 29742390 is about 5453.6584051442. The cubic root of 29742390 is about 309.8312991225.

The spelling of 29742390 in words is "twenty-nine million, seven hundred forty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 365 405 438 503 657 730 810 1006 1095 1314 1509 1971 2190 2515 3018 3285 3942 4527 5030 5913 6570 7545 9054 9855 11826 13581 15090 19710 22635 27162 29565 36719 40743 45270 59130 67905 73438 81486 110157 135810 183595 203715 220314 330471 367190 407430 550785 660942 991413 1101570 1652355 1982826 2974239 3304710 4957065 5948478 9914130 14871195 29742390