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4920080544 = 253219189443
BaseRepresentation
bin1001001010100001…
…00111100010100000
3110200212222222200100
410211100213202200
540034020034134
62132114222400
7232631665101
oct44520474240
913625888610
104920080544
1120a5291375
12b53884a00
13605429082
1434961a3a8
151dbe1b999
hex1254278a0

4920080544 has 72 divisors (see below), whose sum is σ = 14064890112. Its totient is φ = 1631422080.

The previous prime is 4920080519. The next prime is 4920080567. The reversal of 4920080544 is 4450800294.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4920080499 and 4920080508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10287 + ... + 99729.

It is an arithmetic number, because the mean of its divisors is an integer number (195345696).

Almost surely, 24920080544 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 4920080544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032445056).

4920080544 is an abundant number, since it is smaller than the sum of its proper divisors (9144809568).

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

4920080544 is a wasteful number, since it uses less digits than its factorization.

4920080544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89650 (or 89639 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4920080544 is about 70143.2858084079. The cubic root of 4920080544 is about 1700.8162797303.

The spelling of 4920080544 in words is "four billion, nine hundred twenty million, eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 13752 18336 27504 55008 89443 178886 268329 357772 536658 715544 804987 1073316 1431088 1609974 2146632 2862176 3219948 4293264 6439896 8586528 12879792 17083613 25759584 34167226 51250839 68334452 102501678 136668904 153752517 205003356 273337808 307505034 410006712 546675616 615010068 820013424 1230020136 1640026848 2460040272 4920080544