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48432972 = 22374412
BaseRepresentation
bin1011100011000…
…0011101001100
310101010122112210
42320300131030
544344323342
64450030420
71125450000
oct270603514
9111118483
1048432972
1125380455
1214278410
13a05a083
14660a700
1543ba79c
hex2e3074c

48432972 has 90 divisors (see below), whose sum is σ = 135131444. Its totient is φ = 13500480.

The previous prime is 48432961. The next prime is 48432977. The reversal of 48432972 is 27923484.

It is a self number, because there is not a number n which added to its sum of digits gives 48432972.

It is not an unprimeable number, because it can be changed into a prime (48432977) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1181272 + ... + 1181312.

Almost surely, 248432972 is an apocalyptic number.

48432972 is a gapful number since it is divisible by the number (42) 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 48432972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67565722).

48432972 is an abundant number, since it is smaller than the sum of its proper divisors (86698472).

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

48432972 is an equidigital number, since it uses as much as digits as its factorization.

48432972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 53 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 48432972 is about 6959.3801448117. The cubic root of 48432972 is about 364.5135748490.

The spelling of 48432972 in words is "forty-eight million, four hundred thirty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 343 492 574 588 686 861 1029 1148 1372 1681 1722 2009 2058 2401 3362 3444 4018 4116 4802 5043 6027 6724 7203 8036 9604 10086 11767 12054 14063 14406 20172 23534 24108 28126 28812 35301 42189 47068 56252 70602 82369 84378 98441 141204 164738 168756 196882 247107 295323 329476 393764 494214 576583 590646 988428 1153166 1181292 1729749 2306332 3459498 4036081 6918996 8072162 12108243 16144324 24216486 48432972