Search a number
-
+
3748323456 = 27323253753
BaseRepresentation
bin1101111101101010…
…1110000010000000
3100200020010120010200
43133122232002000
530134032322311
61415535325200
7161613136503
oct33732560200
910606116120
103748323456
111653915989
12887380800
13479742b97
14277b5d13a
1516e10e556
hexdf6ae080

3748323456 has 48 divisors (see below), whose sum is σ = 10786194510. Its totient is φ = 1249440768.

The previous prime is 3748323437. The next prime is 3748323463. The reversal of 3748323456 is 6543238473.

It can be written as a sum of positive squares in only one way, i.e., 2552270400 + 1196053056 = 50520^2 + 34584^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1625725 + ... + 1628028.

Almost surely, 23748323456 is an apocalyptic number.

3748323456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3748323456 is an abundant number, since it is smaller than the sum of its proper divisors (7037871054).

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

3748323456 is a wasteful number, since it uses less digits than its factorization.

3748323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253773 (or 3253758 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3748323456 is about 61223.5531147940. The cubic root of 3748323456 is about 1553.3846890416.

The spelling of 3748323456 in words is "three billion, seven hundred forty-eight million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3253753 6507506 9761259 13015012 19522518 26030024 29283777 39045036 52060048 58567554 78090072 104120096 117135108 156180144 208240192 234270216 312360288 416480384 468540432 624720576 937080864 1249441152 1874161728 3748323456