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48938496 = 293151211
BaseRepresentation
bin1011101010101…
…1111000000000
310102002022222220
42322223320000
5100012012441
64504531040
71132653555
oct272537000
9112068886
1048938496
1125696242
1214480a80
13a1a61b9
1466dca2c
15446a466
hex2eabe00

48938496 has 80 divisors (see below), whose sum is σ = 131860608. Its totient is φ = 16128000.

The previous prime is 48938479. The next prime is 48938507. The reversal of 48938496 is 69483984.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231831 + ... + 232041.

Almost surely, 248938496 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 48938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65930304).

48938496 is an abundant number, since it is smaller than the sum of its proper divisors (82922112).

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

48938496 is a wasteful number, since it uses less digits than its factorization.

48938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 48938496 is about 6995.6054777267. The cubic root of 48938496 is about 365.7774035405. Note that the first 3 decimals are identical.

The spelling of 48938496 in words is "forty-eight million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 211 256 302 384 422 453 512 604 633 768 844 906 1208 1266 1536 1688 1812 2416 2532 3376 3624 4832 5064 6752 7248 9664 10128 13504 14496 19328 20256 27008 28992 31861 38656 40512 54016 57984 63722 77312 81024 95583 108032 115968 127444 162048 191166 231936 254888 324096 382332 509776 764664 1019552 1529328 2039104 3058656 4078208 6117312 8156416 12234624 16312832 24469248 48938496