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48212416 = 267234679
BaseRepresentation
bin1011011111101…
…0100111000000
310100201110000001
42313322213000
544320244131
64441205344
71123540660
oct267724700
9110643001
1048212416
112523a77a
1214190854
139cb0875
1465901a0
154375261
hex2dfa9c0

48212416 has 56 divisors (see below), whose sum is σ = 114117120. Its totient is φ = 19759872.

The previous prime is 48212383. The next prime is 48212447. The reversal of 48212416 is 61421284.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 7965 + ... + 12643.

Almost surely, 248212416 is an apocalyptic number.

48212416 is a gapful number since it is divisible by the number (46) 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 48212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

48212416 is an abundant number, since it is smaller than the sum of its proper divisors (65904704).

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

48212416 is a wasteful number, since it uses less digits than its factorization.

48212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4711 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 48212416 is about 6943.5161121726. The cubic root of 48212416 is about 363.9594206665.

The spelling of 48212416 in words is "forty-eight million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 4679 5152 9358 10304 18716 32753 37432 65506 74864 107617 131012 149728 215234 262024 299456 430468 524048 753319 860936 1048096 1506638 1721872 2096192 3013276 3443744 6026552 6887488 12053104 24106208 48212416