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421187904 = 2633713433
BaseRepresentation
bin11001000110101…
…101000101000000
31002100112120012000
4121012231011000
51330311003104
6105443304000
713303016034
oct3106550500
91070476160
10421187904
111a6827785
12b907b000
136934c617
143dd1c1c4
1526e9b639
hex191ad140

421187904 has 112 divisors (see below), whose sum is σ = 1256019840. Its totient is φ = 138378240.

The previous prime is 421187887. The next prime is 421187911. The reversal of 421187904 is 409781124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120972 + ... + 124404.

Almost surely, 2421187904 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 421187904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628009920).

421187904 is an abundant number, since it is smaller than the sum of its proper divisors (834831936).

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

421187904 is a wasteful number, since it uses less digits than its factorization.

421187904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 421187904 is about 20522.8629581742. The cubic root of 421187904 is about 749.5926107521.

The spelling of 421187904 in words is "four hundred twenty-one million, one hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 142 144 192 213 216 284 288 426 432 568 576 639 852 864 1136 1278 1704 1728 1917 2272 2556 3408 3433 3834 4544 5112 6816 6866 7668 10224 10299 13632 13732 15336 20448 20598 27464 30672 30897 40896 41196 54928 61344 61794 82392 92691 109856 122688 123588 164784 185382 219712 243743 247176 329568 370764 487486 494352 659136 731229 741528 974972 988704 1462458 1483056 1949944 1977408 2193687 2924916 2966112 3899888 4387374 5849832 5932224 6581061 7799776 8774748 11699664 13162122 15599552 17549496 23399328 26324244 35098992 46798656 52648488 70197984 105296976 140395968 210593952 421187904