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2604941952 = 27319557641
BaseRepresentation
bin1001101101000100…
…0100001010000000
320201112122202120120
42123101010022000
520313331120302
61110252540240
7121360432644
oct23321041200
96645582516
102604941952
111117470498
12608481680
133268b3492
141a9d6ac24
15103a599bc
hex9b444280

2604941952 has 128 divisors (see below), whose sum is σ = 7308014400. Its totient is φ = 819855360.

The previous prime is 2604941951. The next prime is 2604941993. The reversal of 2604941952 is 2591494062.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2604941951) 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, 4063552 + ... + 4064192.

Almost surely, 22604941952 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 2604941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654007200).

2604941952 is an abundant number, since it is smaller than the sum of its proper divisors (4703072448).

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

2604941952 is a wasteful number, since it uses less digits than its factorization.

2604941952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2604941952 is about 51038.6319565876. The cubic root of 2604941952 is about 1375.9395367339.

The spelling of 2604941952 in words is "two billion, six hundred four million, nine hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 557 608 641 912 1114 1216 1282 1671 1824 1923 2228 2432 2564 3342 3648 3846 4456 5128 6684 7296 7692 8912 10256 10583 12179 13368 15384 17824 20512 21166 24358 26736 30768 31749 35648 36537 41024 42332 48716 53472 61536 63498 71296 73074 82048 84664 97432 106944 123072 126996 146148 169328 194864 213888 246144 253992 292296 338656 357037 389728 507984 584592 677312 714074 779456 1015968 1071111 1169184 1354624 1428148 1558912 2031936 2142222 2338368 2856296 4063872 4284444 4676736 5712592 6783703 8568888 11425184 13567406 17137776 20351109 22850368 27134812 34275552 40702218 45700736 54269624 68551104 81404436 108539248 137102208 162808872 217078496 325617744 434156992 651235488 868313984 1302470976 2604941952