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427945356 = 22353971109
BaseRepresentation
bin11001100000011…
…110110110001100
31002211020212200000
4121200132312030
51334023222411
6110244204300
713414322046
oct3140366614
91084225600
10427945356
111aa622753
12bb399690
136a877307
1440b9aa96
1527883956
hex1981ed8c

427945356 has 72 divisors (see below), whose sum is σ = 1125655440. Its totient is φ = 142160832.

The previous prime is 427945339. The next prime is 427945361. The reversal of 427945356 is 653549724.

427945356 is a `hidden beast` number, since 4 + 27 + 94 + 535 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385330 + ... + 386438.

Almost surely, 2427945356 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 427945356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562827720).

427945356 is an abundant number, since it is smaller than the sum of its proper divisors (697710084).

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

427945356 is a wasteful number, since it uses less digits than its factorization.

427945356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1511 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 427945356 is about 20686.8401647037. The cubic root of 427945356 is about 753.5801310231.

The spelling of 427945356 in words is "four hundred twenty-seven million, nine hundred forty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 397 486 794 972 1109 1191 1588 2218 2382 3327 3573 4436 4764 6654 7146 9981 10719 13308 14292 19962 21438 29943 32157 39924 42876 59886 64314 89829 96471 119772 128628 179658 192942 269487 359316 385884 440273 538974 880546 1077948 1320819 1761092 2641638 3962457 5283276 7924914 11887371 15849828 23774742 35662113 47549484 71324226 106986339 142648452 213972678 427945356