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4404357984 = 2531331113843
BaseRepresentation
bin1000001101000010…
…10010101101100000
3102100221120120022210
410012201102231200
533010003423414
62005012402120
7214100265555
oct40641225540
912327516283
104404357984
111960166384
12a2b016340
1355262a7b0
142dad30a2c
151ab9e9e59
hex106852b60

4404357984 has 96 divisors (see below), whose sum is σ = 12852532224. Its totient is φ = 1311459840.

The previous prime is 4404357961. The next prime is 4404358009. The reversal of 4404357984 is 4897534044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18234 + ... + 95609.

It is an arithmetic number, because the mean of its divisors is an integer number (133880544).

Almost surely, 24404357984 is an apocalyptic number.

It is an amenable number.

4404357984 is an abundant number, since it is smaller than the sum of its proper divisors (8448174240).

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

4404357984 is a wasteful number, since it uses less digits than its factorization.

4404357984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113900 (or 113892 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 4404357984 is about 66365.3372175566. The cubic root of 4404357984 is about 1639.1833610203.

The spelling of 4404357984 in words is "four billion, four hundred four million, three hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 113843 227686 341529 455372 683058 910744 1366116 1479959 1821488 2732232 2959918 3529133 3642976 4439877 5464464 5919836 7058266 8879754 10587399 10928928 11839672 14116532 17759508 21174798 23679344 28233064 35519016 42349596 45878729 47358688 56466128 71038032 84699192 91757458 112932256 137636187 142076064 169398384 183514916 275272374 338796768 367029832 550544748 734059664 1101089496 1468119328 2202178992 4404357984