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49923132 = 2237619743
BaseRepresentation
bin1011111001110…
…0010000111100
310110221100122220
42332130100330
5100240020012
64542005340
71144224330
oct276342074
9113840586
1049923132
11261a8a96
1214876850
13a45c41c
1468b77c0
1545b208c
hex2f9c43c

49923132 has 48 divisors (see below), whose sum is σ = 135324672. Its totient is φ = 14028480.

The previous prime is 49923131. The next prime is 49923157. The reversal of 49923132 is 23132994.

49923132 = 8592 + 8602 + ... + 9212.

It is a junction number, because it is equal to n+sod(n) for n = 49923093 and 49923102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49923131) 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, 253 + ... + 9995.

It is an arithmetic number, because the mean of its divisors is an integer number (2819264).

Almost surely, 249923132 is an apocalyptic number.

49923132 is a gapful number since it is divisible by the number (42) 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 49923132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67662336).

49923132 is an abundant number, since it is smaller than the sum of its proper divisors (85401540).

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

49923132 is a wasteful number, since it uses less digits than its factorization.

49923132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9818 (or 9816 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 49923132 is about 7065.6303328153. The cubic root of 49923132 is about 368.2142636134.

The spelling of 49923132 in words is "forty-nine million, nine hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 9743 19486 29229 38972 58458 68201 116916 136402 204603 272804 409206 594323 818412 1188646 1782969 2377292 3565938 4160261 7131876 8320522 12480783 16641044 24961566 49923132