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1328933952 = 263585451
BaseRepresentation
bin100111100110101…
…1110110001000000
310102121121211200000
41033031132301000
510210201341302
6335511400000
744634516003
oct11715366100
93377554600
101328933952
1162216a825
12311083000
13182428968
14c86d353a
157ba0831c
hex4f35ec40

1328933952 has 84 divisors (see below), whose sum is σ = 3950275056. Its totient is φ = 442972800.

The previous prime is 1328933933. The next prime is 1328933981. The reversal of 1328933952 is 2593398231.

It is a junction number, because it is equal to n+sod(n) for n = 1328933898 and 1328933907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27174 + ... + 58277.

It is an arithmetic number, because the mean of its divisors is an integer number (47027084).

Almost surely, 21328933952 is an apocalyptic number.

1328933952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1328933952 is an abundant number, since it is smaller than the sum of its proper divisors (2621341104).

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

1328933952 is an frugal number, since it uses more digits than its factorization.

1328933952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85478 (or 85456 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 1328933952 is about 36454.5463831331. The cubic root of 1328933952 is about 1099.4305460242.

The spelling of 1328933952 in words is "one billion, three hundred twenty-eight million, nine hundred thirty-three 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 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 85451 170902 256353 341804 512706 683608 769059 1025412 1367216 1538118 2050824 2307177 2734432 3076236 4101648 4614354 5468864 6152472 6921531 8203296 9228708 12304944 13843062 16406592 18457416 20764593 24609888 27686124 36914832 41529186 49219776 55372248 73829664 83058372 110744496 147659328 166116744 221488992 332233488 442977984 664466976 1328933952