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4947977952 = 253231554209
BaseRepresentation
bin1001001101110110…
…00010011011100000
3110202211111022201200
410212323002123200
540113140243302
62134552201200
7233421055461
oct44673023340
913684438650
104947977952
11210a006085
12b61099200
1360b146008
1434d1dcd68
151de5cc81c
hex126ec26e0

4947977952 has 72 divisors (see below), whose sum is σ = 14524735680. Its totient is φ = 1596119040.

The previous prime is 4947977819. The next prime is 4947977977. The reversal of 4947977952 is 2597797494.

4947977952 is a `hidden beast` number, since 4 + 9 + 479 + 77 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×49479779522 = 48964971626956228608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4947977952.

It is a congruent number.

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, 268177 + ... + 286032.

It is an arithmetic number, because the mean of its divisors is an integer number (201732440).

Almost surely, 24947977952 is an apocalyptic number.

It is an amenable number.

4947977952 is an abundant number, since it is smaller than the sum of its proper divisors (9576757728).

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

4947977952 is a wasteful number, since it uses less digits than its factorization.

4947977952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554256 (or 554245 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The square root of 4947977952 is about 70341.8648601244. The cubic root of 4947977952 is about 1704.0248293678.

The spelling of 4947977952 in words is "four billion, nine hundred forty-seven million, nine hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 554209 1108418 1662627 2216836 3325254 4433672 4987881 6650508 8867344 9975762 13301016 17180479 17734688 19951524 26602032 34360958 39903048 51541437 53204064 68721916 79806096 103082874 137443832 154624311 159612192 206165748 274887664 309248622 412331496 549775328 618497244 824662992 1236994488 1649325984 2473988976 4947977952