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421276416 = 28311471061
BaseRepresentation
bin11001000111000…
…010101100000000
31002100201001121020
4121013002230000
51330321321131
6105445225440
713303535061
oct3107025400
91070631536
10421276416
111a6888230
12b9102280
13693809b2
143dd42568
1526eb7996
hex191c2b00

421276416 has 144 divisors (see below), whose sum is σ = 1250339328. Its totient is φ = 124825600.

The previous prime is 421276411. The next prime is 421276421. The reversal of 421276416 is 614672124.

It is an interprime number because it is at equal distance from previous prime (421276411) and next prime (421276421).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421276411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396526 + ... + 397586.

It is an arithmetic number, because the mean of its divisors is an integer number (8682912).

Almost surely, 2421276416 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 421276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625169664).

421276416 is an abundant number, since it is smaller than the sum of its proper divisors (829062912).

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

421276416 is a wasteful number, since it uses less digits than its factorization.

421276416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1124 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 421276416 is about 20525.0192691749. The cubic root of 421276416 is about 749.6451156582.

The spelling of 421276416 in words is "four hundred twenty-one million, two hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 256 264 282 352 376 384 517 528 564 704 752 768 1034 1056 1061 1128 1408 1504 1551 2068 2112 2122 2256 2816 3008 3102 3183 4136 4224 4244 4512 6016 6204 6366 8272 8448 8488 9024 11671 12032 12408 12732 16544 16976 18048 23342 24816 25464 33088 33952 35013 36096 46684 49632 49867 50928 66176 67904 70026 93368 99264 99734 101856 132352 135808 140052 149601 186736 198528 199468 203712 271616 280104 299202 373472 397056 398936 407424 548537 560208 598404 746944 797872 814848 1097074 1120416 1196808 1493888 1595744 1645611 2194148 2240832 2393616 2987776 3191488 3291222 4388296 4481664 4787232 6382976 6582444 8776592 8963328 9574464 12765952 13164888 17553184 19148928 26329776 35106368 38297856 52659552 70212736 105319104 140425472 210638208 421276416