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42925104 = 24321929541
BaseRepresentation
bin1010001110111…
…1110000110000
32222202211011200
42203233300300
541442100404
64132011200
71030600035
oct243576060
988684150
1042925104
11222592a2
1212460b00
138b7c091
1459b538c
153b7d839
hex28efc30

42925104 has 120 divisors (see below), whose sum is σ = 131055600. Its totient is φ = 13063680.

The previous prime is 42925087. The next prime is 42925121. The reversal of 42925104 is 40152924.

42925104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42925087) and next prime (42925121).

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, 79074 + ... + 79614.

It is an arithmetic number, because the mean of its divisors is an integer number (1092130).

Almost surely, 242925104 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 42925104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65527800).

42925104 is an abundant number, since it is smaller than the sum of its proper divisors (88130496).

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

42925104 is a wasteful number, since it uses less digits than its factorization.

42925104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42925104 is about 6551.7252689654. The cubic root of 42925104 is about 350.1362843412.

The spelling of 42925104 in words is "forty-two million, nine hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 541 551 684 696 912 1044 1082 1102 1368 1392 1623 1653 2088 2164 2204 2736 3246 3306 4176 4328 4408 4869 4959 6492 6612 8656 8816 9738 9918 10279 12984 13224 15689 19476 19836 20558 25968 26448 30837 31378 38952 39672 41116 47067 61674 62756 77904 79344 82232 92511 94134 123348 125512 141201 164464 185022 188268 246696 251024 282402 298091 370044 376536 493392 564804 596182 740088 753072 894273 1129608 1192364 1480176 1788546 2259216 2384728 2682819 3577092 4769456 5365638 7154184 10731276 14308368 21462552 42925104