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48073400 = 23521571531
BaseRepresentation
bin1011011101100…
…0101010111000
310100110101022022
42313120222320
544301322100
64434214012
71122421454
oct267305270
9110411268
1048073400
1125155291
1214124308
139c624cb
146555664
154348e85
hex2dd8ab8

48073400 has 48 divisors (see below), whose sum is σ = 112556040. Its totient is φ = 19094400.

The previous prime is 48073393. The next prime is 48073409. The reversal of 48073400 is 437084.

It is a super-3 number, since 3×480734003 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 48073400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48073409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30635 + ... + 32165.

Almost surely, 248073400 is an apocalyptic number.

48073400 is a gapful number since it is divisible by the number (40) 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 48073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56278020).

48073400 is an abundant number, since it is smaller than the sum of its proper divisors (64482640).

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

48073400 is a wasteful number, since it uses less digits than its factorization.

48073400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 48073400 is about 6933.4983954711. The cubic root of 48073400 is about 363.6092695722.

The spelling of 48073400 in words is "forty-eight million, seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1531 1570 3062 3140 3925 6124 6280 7655 7850 12248 15310 15700 30620 31400 38275 61240 76550 153100 240367 306200 480734 961468 1201835 1922936 2403670 4807340 6009175 9614680 12018350 24036700 48073400