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49223232 = 263297881
BaseRepresentation
bin1011101111000…
…1011001000000
310102121210120200
42323301121000
5100100120412
64515005200
71135250652
oct273613100
9112553520
1049223232
1125870163
1214599800
13a275996
1467746d2
1544c49dc
hex2ef1640

49223232 has 84 divisors (see below), whose sum is σ = 142705836. Its totient is φ = 16220160.

The previous prime is 49223227. The next prime is 49223249. The reversal of 49223232 is 23232294.

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 34292736 = 3864^2 + 5856^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 49223196 and 49223205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55432 + ... + 56312.

It is an arithmetic number, because the mean of its divisors is an integer number (1698879).

Almost surely, 249223232 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 49223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71352918).

49223232 is an abundant number, since it is smaller than the sum of its proper divisors (93482604).

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

49223232 is a wasteful number, since it uses less digits than its factorization.

49223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 983 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 49223232 is about 7015.9270235657. The cubic root of 49223232 is about 366.4854259476.

It can be divided in two parts, 49223 and 232, that added together give a triangular number (49455 = T314).

The spelling of 49223232 in words is "forty-nine million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 881 1164 1552 1746 1762 2328 2643 3104 3492 3524 4656 5286 6208 6984 7048 7929 9312 10572 13968 14096 15858 18624 21144 27936 28192 31716 42288 55872 56384 63432 84576 85457 126864 169152 170914 253728 256371 341828 507456 512742 683656 769113 1025484 1367312 1538226 2050968 2734624 3076452 4101936 5469248 6152904 8203872 12305808 16407744 24611616 49223232