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49192768 = 262321453
BaseRepresentation
bin1011101110100…
…1111101000000
310102120020210101
42323221331000
5100043132033
64514212144
71135063102
oct273517500
9112506711
1049192768
112584a289
1214584054
13a264b61
146767572
1544ba97d
hex2ee9f40

49192768 has 42 divisors (see below), whose sum is σ = 102115874. Its totient is φ = 23510784.

The previous prime is 49192763. The next prime is 49192769. The reversal of 49192768 is 86729194.

It can be written as a sum of positive squares in only one way, i.e., 48888064 + 304704 = 6992^2 + 552^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49192763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33130 + ... + 34582.

Almost surely, 249192768 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 49192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51057937).

49192768 is an abundant number, since it is smaller than the sum of its proper divisors (52923106).

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

49192768 is a wasteful number, since it uses less digits than its factorization.

49192768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1478 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 49192768 is about 7013.7556273369. The cubic root of 49192768 is about 366.4098050426.

The spelling of 49192768 in words is "forty-nine million, one hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1453 1472 2116 2906 4232 5812 8464 11624 16928 23248 33419 33856 46496 66838 92992 133676 267352 534704 768637 1069408 1537274 2138816 3074548 6149096 12298192 24596384 49192768