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4623920448 = 26377347129
BaseRepresentation
bin1000100111001101…
…10110110101000000
3102221020201111101220
410103212312311000
533432210423243
62042454355040
7222404450430
oct42346666500
912836644356
104623920448
111a6309a964
12a9065ba80
13588c74004
1431c1662c0
151c0e1a783
hex1139b6d40

4623920448 has 112 divisors (see below), whose sum is σ = 14173687680. Its totient is φ = 1302994944.

The previous prime is 4623920443. The next prime is 4623920459. The reversal of 4623920448 is 8440293264.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4623920443) 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, 74548 + ... + 121676.

Almost surely, 24623920448 is an apocalyptic number.

4623920448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4623920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086843840).

4623920448 is an abundant number, since it is smaller than the sum of its proper divisors (9549767232).

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

4623920448 is a wasteful number, since it uses less digits than its factorization.

4623920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47224 (or 47214 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4623920448 is about 67999.4150563077. The cubic root of 4623920448 is about 1665.9812830593.

The spelling of 4623920448 in words is "four billion, six hundred twenty-three million, nine hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 12264 14016 16352 24528 32704 47129 49056 94258 98112 141387 188516 282774 329903 377032 565548 659806 754064 989709 1131096 1319612 1508128 1979418 2262192 2639224 3016256 3440417 3958836 4524384 5278448 6880834 7917672 9048768 10321251 10556896 13761668 15835344 20642502 21113792 24082919 27523336 31670688 41285004 48165838 55046672 63341376 72248757 82570008 96331676 110093344 144497514 165140016 192663352 220186688 288995028 330280032 385326704 577990056 660560064 770653408 1155980112 1541306816 2311960224 4623920448