Search a number
-
+
49312692 = 2233111331103
BaseRepresentation
bin1011110000011…
…1001110110100
310102210100022000
42330013032310
5100111001232
64520535300
71136102532
oct274071664
9112710260
1049312692
11259213a0
1214621530
13a2a7610
146799152
1544e127c
hex2f073b4

49312692 has 192 divisors, whose sum is σ = 156549120. Its totient is φ = 13219200.

The previous prime is 49312687. The next prime is 49312693. The reversal of 49312692 is 29621394.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49312693) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478713 + ... + 478815.

It is an arithmetic number, because the mean of its divisors is an integer number (815360).

Almost surely, 249312692 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 49312692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78274560).

49312692 is an abundant number, since it is smaller than the sum of its proper divisors (107236428).

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

49312692 is a wasteful number, since it uses less digits than its factorization.

49312692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 49312692 is about 7022.2996233428. The cubic root of 49312692 is about 366.7073126658.

The spelling of 49312692 in words is "forty-nine million, three hundred twelve thousand, six hundred ninety-two".