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49436928 = 283243499
BaseRepresentation
bin1011110010010…
…1100100000000
310110000122201100
42330211210000
5100123440203
64523334400
71140130662
oct274454400
9113018640
1049436928
11259a6772
1214681400
13a31c028
1467cc532
154517ea3
hex2f25900

49436928 has 108 divisors (see below), whose sum is σ = 146146000. Its totient is φ = 16063488.

The previous prime is 49436887. The next prime is 49436951. The reversal of 49436928 is 82963494.

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

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, 98823 + ... + 99321.

Almost surely, 249436928 is an apocalyptic number.

49436928 is a gapful number since it is divisible by the number (48) 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 49436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73073000).

49436928 is an abundant number, since it is smaller than the sum of its proper divisors (96709072).

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

49436928 is a wasteful number, since it uses less digits than its factorization.

49436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 547 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 49436928 is about 7031.1398791377. The cubic root of 49436928 is about 367.0150092731.

The spelling of 49436928 in words is "forty-nine million, four hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 499 516 576 688 768 774 998 1032 1152 1376 1497 1548 1996 2064 2304 2752 2994 3096 3992 4128 4491 5504 5988 6192 7984 8256 8982 11008 11976 12384 15968 16512 17964 21457 23952 24768 31936 33024 35928 42914 47904 49536 63872 64371 71856 85828 95808 99072 127744 128742 143712 171656 191616 193113 257484 287424 343312 383232 386226 514968 574848 686624 772452 1029936 1149696 1373248 1544904 2059872 2746496 3089808 4119744 5492992 6179616 8239488 12359232 16478976 24718464 49436928