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421972496 = 24112317989
BaseRepresentation
bin11001001001101…
…100101000010000
31002102000102102222
4121021230220100
51331011104441
6105512200212
713312464341
oct3111545020
91072012388
10421972496
111a7213200
12b9399068
136956578a
14400840c8
15270a3d4b
hex1926ca10

421972496 has 120 divisors (see below), whose sum is σ = 949939200. Its totient is φ = 181209600.

The previous prime is 421972493. The next prime is 421972519. The reversal of 421972496 is 694279124.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (421972493) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4741220 + ... + 4741308.

It is an arithmetic number, because the mean of its divisors is an integer number (7916160).

Almost surely, 2421972496 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 421972496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474969600).

421972496 is an abundant number, since it is smaller than the sum of its proper divisors (527966704).

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

421972496 is a wasteful number, since it uses less digits than its factorization.

421972496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 421972496 is about 20541.9691363803. The cubic root of 421972496 is about 750.0577709573.

The spelling of 421972496 in words is "four hundred twenty-one million, nine hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 79 88 89 121 124 158 176 178 242 248 316 341 356 484 496 632 682 712 869 968 979 1264 1364 1424 1738 1936 1958 2449 2728 2759 3476 3751 3916 4898 5456 5518 6952 7031 7502 7832 9559 9796 10769 11036 13904 14062 15004 15664 19118 19592 21538 22072 26939 28124 30008 30349 38236 39184 43076 44144 53878 56248 60016 60698 76472 77341 86152 107756 112496 121396 152944 154682 172304 215512 217961 242792 296329 309364 333839 431024 435922 485584 592658 618728 667678 850751 871844 1185316 1237456 1335356 1701502 1743688 2370632 2397571 2670712 3403004 3487376 4741264 4795142 5341424 6806008 9590284 13612016 19180568 26373281 38361136 52746562 105493124 210986248 421972496