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268969464 = 233310112329
BaseRepresentation
bin10000000010000…
…010010111111000
3200202010001202000
4100002002113320
51022324010324
642404541000
76444126351
oct2002022770
9622101660
10268969464
1112890a815
12760b1760
1343954a3a
1427a16d28
151892e9c9
hex100825f8

268969464 has 64 divisors (see below), whose sum is σ = 754596000. Its totient is φ = 88761600.

The previous prime is 268969451. The next prime is 268969469. The reversal of 268969464 is 464969862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 268969464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268969469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15652 + ... + 27980.

Almost surely, 2268969464 is an apocalyptic number.

268969464 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 268969464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377298000).

268969464 is an abundant number, since it is smaller than the sum of its proper divisors (485626536).

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

268969464 is a wasteful number, since it uses less digits than its factorization.

268969464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12445 (or 12435 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 268969464 is about 16400.2885340472. The cubic root of 268969464 is about 645.5070539622.

The spelling of 268969464 in words is "two hundred sixty-eight million, nine hundred sixty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 7272 10908 12329 21816 24658 36987 49316 73974 98632 110961 147948 221922 295896 332883 443844 665766 887688 1245229 1331532 2490458 2663064 3735687 4980916 7471374 9961832 11207061 14942748 22414122 29885496 33621183 44828244 67242366 89656488 134484732 268969464