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2604197952 = 263655817
BaseRepresentation
bin1001101100111000…
…1110100001000000
320201111020222000000
42123032032201000
520313133313302
61110225000000
7121351213566
oct23316164100
96644228000
102604197952
111117002514
12608183000
133266b2945
141a9c15a36
1510395e31c
hex9b38e840

2604197952 has 98 divisors (see below), whose sum is σ = 7748152398. Its totient is φ = 868050432.

The previous prime is 2604197927. The next prime is 2604197971. The reversal of 2604197952 is 2597914062.

It can be written as a sum of positive squares in only one way, i.e., 2598552576 + 5645376 = 50976^2 + 2376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2604197898 and 2604197907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 18748 + ... + 74564.

Almost surely, 22604197952 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 2604197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874076199).

2604197952 is an abundant number, since it is smaller than the sum of its proper divisors (5143954446).

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

2604197952 is an frugal number, since it uses more digits than its factorization.

2604197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55847 (or 55822 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2604197952 is about 51031.3428394746. The cubic root of 2604197952 is about 1375.8085297851.

The spelling of 2604197952 in words is "two billion, six hundred four million, one hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 55817 111634 167451 223268 334902 446536 502353 669804 893072 1004706 1339608 1507059 1786144 2009412 2679216 3014118 3572288 4018824 4521177 5358432 6028236 8037648 9042354 10716864 12056472 13563531 16075296 18084708 24112944 27127062 32150592 36169416 40690593 48225888 54254124 72338832 81381186 96451776 108508248 144677664 162762372 217016496 289355328 325524744 434032992 651049488 868065984 1302098976 2604197952