Search a number
-
+
4774253440 = 27511261651
BaseRepresentation
bin1000111001001000…
…10101001110000000
3110022201121012111111
410130210111032000
534234202102230
62105424453104
7226211325145
oct43444251600
913281535444
104774253440
11202aa3a300
12b12a7a194
135b115b648
143340da3cc
151ce21392a
hex11c915380

4774253440 has 96 divisors (see below), whose sum is σ = 12545565480. Its totient is φ = 1736064000.

The previous prime is 4774253431. The next prime is 4774253447. The reversal of 4774253440 is 443524774.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4774253393 and 4774253402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4774253447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46615 + ... + 108265.

Almost surely, 24774253440 is an apocalyptic number.

4774253440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4774253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272782740).

4774253440 is an abundant number, since it is smaller than the sum of its proper divisors (7771312040).

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

4774253440 is a wasteful number, since it uses less digits than its factorization.

4774253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61692 (or 61669 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 40.

The square root of 4774253440 is about 69095.9726756922. The cubic root of 4774253440 is about 1683.8438816912.

The spelling of 4774253440 in words is "four billion, seven hundred seventy-four million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 640 704 880 968 1210 1408 1760 1936 2420 3520 3872 4840 7040 7744 9680 15488 19360 38720 61651 77440 123302 246604 308255 493208 616510 678161 986416 1233020 1356322 1972832 2466040 2712644 3390805 3945664 4932080 5425288 6781610 7459771 7891328 9864160 10850576 13563220 14919542 19728320 21701152 27126440 29839084 37298855 39456640 43402304 54252880 59678168 74597710 86804608 108505760 119356336 149195420 217011520 238712672 298390840 434023040 477425344 596781680 954850688 1193563360 2387126720 4774253440