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675243648 = 2733613203
BaseRepresentation
bin101000001111110…
…110011010000000
31202001120221011000
4220033312122000
52340330244043
6151000452000
722506322242
oct5017663200
91661527130
10675243648
11317180602
1216a17a000
13a9b82071
1465972092
153e4322d3
hex283f6680

675243648 has 128 divisors (see below), whose sum is σ = 2026209600. Its totient is φ = 221322240.

The previous prime is 675243631. The next prime is 675243659. The reversal of 675243648 is 846342576.

675243648 is a `hidden beast` number, since 67 + 524 + 3 + 64 + 8 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 209215 + ... + 212417.

Almost surely, 2675243648 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 675243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013104800).

675243648 is an abundant number, since it is smaller than the sum of its proper divisors (1350965952).

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

675243648 is a wasteful number, since it uses less digits than its factorization.

675243648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3269 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 675243648 is about 25985.4506984197. The cubic root of 675243648 is about 877.3108541115.

The spelling of 675243648 in words is "six hundred seventy-five million, two hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 288 366 384 432 488 549 576 732 864 976 1098 1152 1464 1647 1728 1952 2196 2928 3203 3294 3456 3904 4392 5856 6406 6588 7808 8784 9609 11712 12812 13176 17568 19218 23424 25624 26352 28827 35136 38436 51248 52704 57654 70272 76872 86481 102496 105408 115308 153744 172962 195383 204992 210816 230616 307488 345924 390766 409984 461232 586149 614976 691848 781532 922464 1172298 1229952 1383696 1563064 1758447 1844928 2344596 2767392 3126128 3516894 3689856 4689192 5275341 5534784 6252256 7033788 9378384 10550682 11069568 12504512 14067576 18756768 21101364 25009024 28135152 37513536 42202728 56270304 75027072 84405456 112540608 168810912 225081216 337621824 675243648