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26628448 = 25711101107
BaseRepresentation
bin110010110010…
…1000101100000
31212002212100211
41211211011200
523304102243
62350423504
7442223650
oct145450540
955085324
1026628448
1114038390
128b01b94
1356944a2
143772360
15250ed9d
hex1965160

26628448 has 96 divisors (see below), whose sum is σ = 66624768. Its totient is φ = 10176000.

The previous prime is 26628439. The next prime is 26628449. The reversal of 26628448 is 84482662.

It is a self number, because there is not a number n which added to its sum of digits gives 26628448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26628449) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248811 + ... + 248917.

It is an arithmetic number, because the mean of its divisors is an integer number (694008).

Almost surely, 226628448 is an apocalyptic number.

26628448 is a gapful number since it is divisible by the number (28) 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 26628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33312384).

26628448 is an abundant number, since it is smaller than the sum of its proper divisors (39996320).

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

26628448 is a wasteful number, since it uses less digits than its factorization.

26628448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 26628448 is about 5160.2759616129. The cubic root of 26628448 is about 298.6175204352.

The spelling of 26628448 in words is "twenty-six million, six hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 101 107 112 154 176 202 214 224 308 352 404 428 616 707 749 808 856 1111 1177 1232 1414 1498 1616 1712 2222 2354 2464 2828 2996 3232 3424 4444 4708 5656 5992 7777 8239 8888 9416 10807 11312 11984 15554 16478 17776 18832 21614 22624 23968 31108 32956 35552 37664 43228 62216 65912 75649 86456 118877 124432 131824 151298 172912 237754 248864 263648 302596 345824 475508 605192 832139 951016 1210384 1664278 1902032 2420768 3328556 3804064 6657112 13314224 26628448