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26878464 = 293219307
BaseRepresentation
bin110011010001…
…0001000000000
31212120120022200
41212202020000
523340102324
62400033200
7444314604
oct146421000
955516280
1026878464
1114199208
129002800
135751222
1437d9504
15255dec9
hex19a2200

26878464 has 120 divisors (see below), whose sum is σ = 81921840. Its totient is φ = 8460288.

The previous prime is 26878463. The next prime is 26878469. The reversal of 26878464 is 46487862.

It is not an unprimeable number, because it can be changed into a prime (26878463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87399 + ... + 87705.

It is an arithmetic number, because the mean of its divisors is an integer number (682682).

Almost surely, 226878464 is an apocalyptic number.

26878464 is a gapful number since it is divisible by the number (24) 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 26878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40960920).

26878464 is an abundant number, since it is smaller than the sum of its proper divisors (55043376).

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

26878464 is a wasteful number, since it uses less digits than its factorization.

26878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 26878464 is about 5184.4444253941. Note that the first 4 decimals coincide. The cubic root of 26878464 is about 299.5491895725.

The spelling of 26878464 in words is "twenty-six million, eight hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 307 342 384 456 512 576 608 614 684 768 912 921 1152 1216 1228 1368 1536 1824 1842 2304 2432 2456 2736 2763 3648 3684 4608 4864 4912 5472 5526 5833 7296 7368 9728 9824 10944 11052 11666 14592 14736 17499 19648 21888 22104 23332 29184 29472 34998 39296 43776 44208 46664 52497 58944 69996 78592 87552 88416 93328 104994 117888 139992 157184 176832 186656 209988 235776 279984 353664 373312 419976 471552 559968 707328 746624 839952 1119936 1414656 1493248 1679904 2239872 2986496 3359808 4479744 6719616 8959488 13439232 26878464