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38848416 = 253404671
BaseRepresentation
bin1001010000110…
…0011110100000
32201002201000020
42110030132200
534421122131
63504353440
7651130455
oct224143640
981081006
1038848416
111aa24432
1211015880
138082639
14523382c
153625996
hex250c7a0

38848416 has 24 divisors (see below), whose sum is σ = 101977344. Its totient is φ = 12949440.

The previous prime is 38848387. The next prime is 38848421. The reversal of 38848416 is 61484883.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 202240 + ... + 202431.

It is an arithmetic number, because the mean of its divisors is an integer number (4249056).

Almost surely, 238848416 is an apocalyptic number.

It is an amenable number.

38848416 is an abundant number, since it is smaller than the sum of its proper divisors (63128928).

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

38848416 is a wasteful number, since it uses less digits than its factorization.

38848416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404684 (or 404676 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 38848416 is about 6232.8497495127. The cubic root of 38848416 is about 338.6812119599.

The spelling of 38848416 in words is "thirty-eight million, eight hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 404671 809342 1214013 1618684 2428026 3237368 4856052 6474736 9712104 12949472 19424208 38848416