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1955730048 = 27317217623
BaseRepresentation
bin111010010010010…
…0001001010000000
312001022001101021020
41310210201022000
513001131330143
6522022025440
766315300606
oct16444411200
95038041236
101955730048
11913a5aa28
12466b78280
1325224711c
14147a53876
15b6a6a883
hex74921280

1955730048 has 96 divisors (see below), whose sum is σ = 5518779360. Its totient is φ = 613527552.

The previous prime is 1955730041. The next prime is 1955730061. The reversal of 1955730048 is 8400375591.

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

It is a junction number, because it is equal to n+sod(n) for n = 1955729991 and 1955730009.

It is not an unprimeable number, because it can be changed into a prime (1955730041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102165 + ... + 119787.

It is an arithmetic number, because the mean of its divisors is an integer number (57487285).

Almost surely, 21955730048 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 1955730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759389680).

1955730048 is an abundant number, since it is smaller than the sum of its proper divisors (3563049312).

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

1955730048 is a wasteful number, since it uses less digits than its factorization.

1955730048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17674 (or 17645 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 1955730048 is about 44223.6367568295. The cubic root of 1955730048 is about 1250.5554966755. Note that the first 3 decimals are identical.

The spelling of 1955730048 in words is "one billion, nine hundred fifty-five million, seven hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 289 384 408 544 578 816 867 1088 1156 1632 1734 2176 2312 3264 3468 4624 6528 6936 9248 13872 17623 18496 27744 35246 36992 52869 55488 70492 105738 110976 140984 211476 281968 299591 422952 563936 599182 845904 898773 1127872 1198364 1691808 1797546 2255744 2396728 3383616 3595092 4793456 5093047 6767232 7190184 9586912 10186094 14380368 15279141 19173824 20372188 28760736 30558282 38347648 40744376 57521472 61116564 81488752 115042944 122233128 162977504 244466256 325955008 488932512 651910016 977865024 1955730048