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48677328 = 2433716097
BaseRepresentation
bin1011100110110…
…0000111010000
310101121001202000
42321230013100
544430133303
64455154000
71130515260
oct271540720
9111531660
1048677328
1125527aa7
1214375900
13a11436b
1466717a0
154417da3
hex2e6c1d0

48677328 has 80 divisors (see below), whose sum is σ = 159692160. Its totient is φ = 13906944.

The previous prime is 48677323. The next prime is 48677353. The reversal of 48677328 is 82377684.

It is a happy number.

It is a super-2 number, since 2×486773282 = 4738964522439168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48677323) 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, 5025 + ... + 11072.

It is an arithmetic number, because the mean of its divisors is an integer number (1996152).

Almost surely, 248677328 is an apocalyptic number.

48677328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48677328 is an abundant number, since it is smaller than the sum of its proper divisors (111014832).

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

48677328 is a wasteful number, since it uses less digits than its factorization.

48677328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16121 (or 16109 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 48677328 is about 6976.9139309583. The cubic root of 48677328 is about 365.1255663558.

The spelling of 48677328 in words is "forty-eight million, six hundred seventy-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 16097 32194 48291 64388 96582 112679 128776 144873 193164 225358 257552 289746 338037 386328 434619 450716 579492 676074 772656 869238 901432 1014111 1158984 1352148 1738476 1802864 2028222 2317968 2704296 3042333 3476952 4056444 5408592 6084666 6953904 8112888 12169332 16225776 24338664 48677328