Search a number
-
+
122649488 = 24131274643
BaseRepresentation
bin1110100111101…
…11101110010000
322112210020110122
413103313232100
5222344240423
620100445412
73016334453
oct723675620
9275706418
10122649488
1163261415
12350a9868
131c543b80
141240949a
15ab7a8c8
hex74f7b90

122649488 has 40 divisors (see below), whose sum is σ = 257983488. Its totient is φ = 56149632.

The previous prime is 122649481. The next prime is 122649493. The reversal of 122649488 is 884946221.

It is not an unprimeable number, because it can be changed into a prime (122649481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24095 + ... + 28737.

Almost surely, 2122649488 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 122649488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128991744).

122649488 is an abundant number, since it is smaller than the sum of its proper divisors (135334000).

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

122649488 is a wasteful number, since it uses less digits than its factorization.

122649488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791 (or 4785 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 122649488 is about 11074.7229310715. The cubic root of 122649488 is about 496.8461320623.

The spelling of 122649488 in words is "one hundred twenty-two million, six hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 1016 1651 2032 3302 4643 6604 9286 13208 18572 26416 37144 60359 74288 120718 241436 482872 589661 965744 1179322 2358644 4717288 7665593 9434576 15331186 30662372 61324744 122649488