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1950048 = 25333761
BaseRepresentation
bin111011100000101100000
310200001222000
413130011200
5444400143
6105444000
722401162
oct7340540
93601860
101950048
111112111
127a0600
13533799
1438a932
15287bd3
hex1dc160

1950048 has 96 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 622080.

The previous prime is 1950043. The next prime is 1950061. The reversal of 1950048 is 8400591.

1950048 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950043) 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, 31938 + ... + 31998.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

21950048 is an apocalyptic number.

1950048 is a gapful number since it is divisible by the number (18) 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 1950048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

1950048 is an abundant number, since it is smaller than the sum of its proper divisors (3987072).

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

1950048 is a wasteful number, since it uses less digits than its factorization.

1950048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1950048 is about 1396.4411910281. The cubic root of 1950048 is about 124.9343228315.

The spelling of 1950048 in words is "one million, nine hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 61 72 74 96 108 111 122 144 148 183 216 222 244 288 296 333 366 432 444 488 549 592 666 732 864 888 976 999 1098 1184 1332 1464 1647 1776 1952 1998 2196 2257 2664 2928 3294 3552 3996 4392 4514 5328 5856 6588 6771 7992 8784 9028 10656 13176 13542 15984 17568 18056 20313 26352 27084 31968 36112 40626 52704 54168 60939 72224 81252 108336 121878 162504 216672 243756 325008 487512 650016 975024 1950048