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4405242496 = 27376713883
BaseRepresentation
bin1000001101001001…
…01010101010000000
3102101000020111122111
410012210222222000
533010220224441
62005043345104
7214110641404
oct40644525200
912330214574
104405242496
11196070a986
12a2b382194
1355287a285
142db0c1104
151abb22081
hex10692aa80

4405242496 has 64 divisors (see below), whose sum is σ = 9148445280. Its totient is φ = 2110952448.

The previous prime is 4405242469. The next prime is 4405242497. The reversal of 4405242496 is 6942425044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×44052424962 = 38812322897128620032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4405242497) 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 7 ways as a sum of consecutive naturals, for example, 310371 + ... + 324253.

Almost surely, 24405242496 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 4405242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574222640).

4405242496 is an abundant number, since it is smaller than the sum of its proper divisors (4743202784).

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

4405242496 is a wasteful number, since it uses less digits than its factorization.

4405242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14001 (or 13989 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 4405242496 is about 66372.0008437293. Note that the first 3 decimals coincide. The cubic root of 4405242496 is about 1639.2930841862.

The spelling of 4405242496 in words is "four billion, four hundred five million, two hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 67 74 128 134 148 268 296 536 592 1072 1184 2144 2368 2479 4288 4736 4958 8576 9916 13883 19832 27766 39664 55532 79328 111064 158656 222128 317312 444256 513671 888512 930161 1027342 1777024 1860322 2054684 3720644 4109368 7441288 8218736 14882576 16437472 29765152 32874944 34415957 59530304 65749888 68831914 119060608 137663828 275327656 550655312 1101310624 2202621248 4405242496