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9274460416 = 281324632
BaseRepresentation
bin10001010001100110…
…10000100100000000
3212221100112101220221
420220303100210000
5122443230213131
64132143512424
7445554420124
oct105063204400
925840471827
109274460416
113a2a211421
121969bb8714
13b4a5a8400
1463da5b584
15394343411
hex228cd0900

9274460416 has 81 divisors (see below), whose sum is σ = 20089678329. Its totient is φ = 4271275008.

The previous prime is 9274460401. The next prime is 9274460467. The reversal of 9274460416 is 6140644729.

The square root of 9274460416 is 96304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1371961600 + 7902498816 = 37040^2 + 88896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20031001 + ... + 20031463.

Almost surely, 29274460416 is an apocalyptic number.

9274460416 is the 96304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9274460416

9274460416 is an abundant number, since it is smaller than the sum of its proper divisors (10815217913).

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

9274460416 is an frugal number, since it uses more digits than its factorization.

9274460416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The cubic root of 9274460416 is about 2101.0169236512.

The spelling of 9274460416 in words is "nine billion, two hundred seventy-four million, four hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 463 676 832 926 1352 1664 1852 2704 3328 3704 5408 6019 7408 10816 12038 14816 21632 24076 29632 43264 48152 59264 78247 96304 118528 156494 192608 214369 312988 385216 428738 625976 770432 857476 1251952 1540864 1714952 2503904 2786797 3429904 5007808 5573594 6859808 10015616 11147188 13719616 20031232 22294376 27439232 36228361 44588752 54878464 72456722 89177504 144913444 178355008 289826888 356710016 579653776 713420032 1159307552 2318615104 4637230208 9274460416