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2355195648 = 28313419563
BaseRepresentation
bin1000110001100001…
…0110111100000000
320002010201100001110
42030120112330000
514310412230043
61025412003320
7112235555421
oct21430267400
96063640043
102355195648
11aa94a0393
12558900540
132b6c2c3c0
14184b19648
15dbb75b33
hex8c616f00

2355195648 has 144 divisors (see below), whose sum is σ = 6778558080. Its totient is φ = 721661952.

The previous prime is 2355195593. The next prime is 2355195649. The reversal of 2355195648 is 8465915532.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1296000) is a multiple of the sum of its prime divisors (1000).

It is a junction number, because it is equal to n+sod(n) for n = 2355195597 and 2355195606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355195649) 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, 4183015 + ... + 4183577.

It is an arithmetic number, because the mean of its divisors is an integer number (47073320).

Almost surely, 22355195648 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 2355195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389279040).

2355195648 is an abundant number, since it is smaller than the sum of its proper divisors (4423362432).

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

2355195648 is a wasteful number, since it uses less digits than its factorization.

2355195648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The square root of 2355195648 is about 48530.3580040370. The cubic root of 2355195648 is about 1330.4819795718.

The spelling of 2355195648 in words is "two billion, three hundred fifty-five million, one hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 419 563 624 768 832 838 1126 1248 1257 1664 1676 1689 2252 2496 2514 3328 3352 3378 4504 4992 5028 5447 6704 6756 7319 9008 9984 10056 10894 13408 13512 14638 16341 18016 20112 21788 21957 26816 27024 29276 32682 36032 40224 43576 43914 53632 54048 58552 65364 72064 80448 87152 87828 107264 108096 117104 130728 144128 160896 174304 175656 216192 234208 235897 261456 321792 348608 351312 432384 468416 471794 522912 697216 702624 707691 936832 943588 1045824 1394432 1405248 1415382 1873664 1887176 2091648 2810496 2830764 3066661 3774352 4183296 5620992 5661528 6133322 7548704 9199983 11323056 12266644 15097408 18399966 22646112 24533288 30194816 36799932 45292224 49066576 60389632 73599864 90584448 98133152 147199728 181168896 196266304 294399456 392532608 588798912 785065216 1177597824 2355195648