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1448961948 = 2232723126497
BaseRepresentation
bin101011001011101…
…0110011110011100
310201222110220010100
41112113112132130
510431413240243
6355440141100
750622654600
oct12627263634
93658426110
101448961948
116839a0615
12345307790
131a1262545
14da619500
15873170d3
hex565d679c

1448961948 has 108 divisors (see below), whose sum is σ = 4398244032. Its totient is φ = 400619520.

The previous prime is 1448961893. The next prime is 1448961967. The reversal of 1448961948 is 8491698441.

It is a happy number.

1448961948 is a `hidden beast` number, since 1 + 448 + 9 + 6 + 194 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1448961894 and 1448961903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41436 + ... + 67932.

Almost surely, 21448961948 is an apocalyptic number.

1448961948 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 1448961948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199122016).

1448961948 is an abundant number, since it is smaller than the sum of its proper divisors (2949282084).

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

1448961948 is a wasteful number, since it uses less digits than its factorization.

1448961948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26552 (or 26540 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1448961948 is about 38065.2327984475. The cubic root of 1448961948 is about 1131.5810348403.

The spelling of 1448961948 in words is "one billion, four hundred forty-eight million, nine hundred sixty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1953 2604 3038 3906 4557 6076 7812 9114 13671 18228 26497 27342 52994 54684 79491 105988 158982 185479 238473 317964 370958 476946 556437 741916 821407 953892 1112874 1298353 1642814 1669311 2225748 2464221 2596706 3285628 3338622 3895059 4928442 5193412 5749849 6677244 7392663 7790118 9856884 11499698 11685177 14785326 15580236 17249547 22999396 23370354 29570652 34499094 40248943 46740708 51748641 68998188 80497886 103497282 120746829 160995772 206994564 241493658 362240487 482987316 724480974 1448961948