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4956084 = 2232771277
BaseRepresentation
bin10010111001111110110100
3100022210110200
4102321332310
52232043314
6254120500
760061140
oct22717664
910283420
104956084
112885641
1217b0130
131046ac3
14930220
1567d709
hex4b9fb4

4956084 has 72 divisors (see below), whose sum is σ = 14571648. Its totient is φ = 1391040.

The previous prime is 4956073. The next prime is 4956097. The reversal of 4956084 is 4806594.

4956084 is a `hidden beast` number, since 49 + 5 + 608 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17754 + ... + 18030.

It is an arithmetic number, because the mean of its divisors is an integer number (202384).

Almost surely, 24956084 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 4956084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285824).

4956084 is an abundant number, since it is smaller than the sum of its proper divisors (9615564).

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

4956084 is a wasteful number, since it uses less digits than its factorization.

4956084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4956084 is about 2226.2264035807. The cubic root of 4956084 is about 170.4954863888.

The spelling of 4956084 in words is "four million, nine hundred fifty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 277 284 426 497 554 639 831 852 994 1108 1278 1491 1662 1939 1988 2493 2556 2982 3324 3878 4473 4986 5817 5964 7756 8946 9972 11634 17451 17892 19667 23268 34902 39334 59001 69804 78668 118002 137669 177003 236004 275338 354006 413007 550676 708012 826014 1239021 1652028 2478042 4956084