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1948056 = 2331147157
BaseRepresentation
bin111011011100110011000
310122222020020
413123212120
5444314211
6105430440
722362315
oct7334630
93588206
101948056
111110670
1279b420
135328c6
14389d0c
15287306
hex1db998

1948056 has 64 divisors (see below), whose sum is σ = 5460480. Its totient is φ = 574080.

The previous prime is 1948049. The next prime is 1948069. The reversal of 1948056 is 6508491.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12330 + ... + 12486.

It is an arithmetic number, because the mean of its divisors is an integer number (85320).

21948056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730240).

1948056 is an abundant number, since it is smaller than the sum of its proper divisors (3512424).

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

1948056 is a wasteful number, since it uses less digits than its factorization.

1948056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1948056 is about 1395.7277671523. The cubic root of 1948056 is about 124.8917676464.

The spelling of 1948056 in words is "one million, nine hundred forty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 157 188 264 282 314 376 471 517 564 628 942 1034 1128 1256 1551 1727 1884 2068 3102 3454 3768 4136 5181 6204 6908 7379 10362 12408 13816 14758 20724 22137 29516 41448 44274 59032 81169 88548 162338 177096 243507 324676 487014 649352 974028 1948056