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26961552 = 2433139449
BaseRepresentation
bin110011011011…
…0011010010000
31212201210022000
41212312122100
523400232202
62401514000
7445112052
oct146663220
955653260
1026961552
1114245682
129042900
13577cca7
14381b8d2
15257891c
hex19b6690

26961552 has 80 divisors (see below), whose sum is σ = 78120000. Its totient is φ = 8902656.

The previous prime is 26961533. The next prime is 26961563. The reversal of 26961552 is 25516962.

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

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, 59824 + ... + 60272.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 226961552 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 26961552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060000).

26961552 is an abundant number, since it is smaller than the sum of its proper divisors (51158448).

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

26961552 is a wasteful number, since it uses less digits than its factorization.

26961552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 26961552 is about 5192.4514441639. The cubic root of 26961552 is about 299.8575323539.

The spelling of 26961552 in words is "twenty-six million, nine hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 449 556 834 898 1112 1251 1347 1668 1796 2224 2502 2694 3336 3592 3753 4041 5004 5388 6672 7184 7506 8082 10008 10776 12123 15012 16164 20016 21552 24246 30024 32328 48492 60048 62411 64656 96984 124822 187233 193968 249644 374466 499288 561699 748932 998576 1123398 1497864 1685097 2246796 2995728 3370194 4493592 6740388 8987184 13480776 26961552