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42450804 = 22341143277
BaseRepresentation
bin1010000111101…
…1111101110100
32221212201120000
42201323331310
541331411204
64113511300
71023553164
oct241737564
987781500
1042450804
1121a64a10
1212272530
138a44226
1458d05a4
153ad8039
hex287bf74

42450804 has 120 divisors (see below), whose sum is σ = 124326048. Its totient is φ = 12519360.

The previous prime is 42450797. The next prime is 42450817. The reversal of 42450804 is 40805424.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 153114 + ... + 153390.

Almost surely, 242450804 is an apocalyptic number.

42450804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42450804 is the 3483-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42450804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62163024).

42450804 is an abundant number, since it is smaller than the sum of its proper divisors (81875244).

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

42450804 is a wasteful number, since it uses less digits than its factorization.

42450804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42450804 is about 6515.4281517027. The cubic root of 42450804 is about 348.8418973919.

The spelling of 42450804 in words is "forty-two million, four hundred fifty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 81 86 99 108 129 132 162 172 198 258 277 297 324 387 396 473 516 554 594 774 831 891 946 1108 1161 1188 1419 1548 1662 1782 1892 2322 2493 2838 3047 3324 3483 3564 4257 4644 4986 5676 6094 6966 7479 8514 9141 9972 11911 12188 12771 13932 14958 17028 18282 22437 23822 25542 27423 29916 35733 36564 38313 44874 47644 51084 54846 71466 76626 82269 89748 107199 109692 131021 142932 153252 164538 214398 246807 262042 321597 329076 393063 428796 493614 524084 643194 786126 964791 987228 1179189 1286388 1572252 1929582 2358378 3537567 3859164 4716756 7075134 10612701 14150268 21225402 42450804