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4778240490 = 2335173133581
BaseRepresentation
bin1000111001100111…
…00010100111101010
3110100000002202201000
410130303202213222
534241212143430
62110050135430
7226260242202
oct43463424752
913300082630
104778240490
112032212891
12b14281576
135b1c2634a
14334857402
151ce74ee60
hex11cce29ea

4778240490 has 128 divisors (see below), whose sum is σ = 13927127040. Its totient is φ = 1160524800.

The previous prime is 4778240483. The next prime is 4778240557. The reversal of 4778240490 is 940428774.

4778240490 is a `hidden beast` number, since 47 + 7 + 82 + 40 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125500 + ... + 159080.

It is an arithmetic number, because the mean of its divisors is an integer number (108805680).

Almost surely, 24778240490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4778240490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963563520).

4778240490 is an abundant number, since it is smaller than the sum of its proper divisors (9148886550).

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

4778240490 is a wasteful number, since it uses less digits than its factorization.

4778240490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33645 (or 33639 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4778240490 is about 69124.8181914426. The cubic root of 4778240490 is about 1684.3124856193.

The spelling of 4778240490 in words is "four billion, seven hundred seventy-eight million, two hundred forty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 85 90 93 102 135 153 155 170 186 255 270 279 306 310 459 465 510 527 558 765 837 918 930 1054 1395 1530 1581 1674 2295 2635 2790 3162 4185 4590 4743 5270 7905 8370 9486 14229 15810 23715 28458 33581 47430 67162 71145 100743 142290 167905 201486 302229 335810 503715 570877 604458 906687 1007430 1041011 1141754 1511145 1712631 1813374 2082022 2854385 3022290 3123033 3425262 4533435 5137893 5205055 5708770 6246066 8563155 9066870 9369099 10275786 10410110 15413679 15615165 17126310 17697187 18738198 25689465 28107297 30827358 31230330 35394374 46845495 51378930 53091561 56214594 77068395 88485935 93690990 106183122 140536485 154136790 159274683 176971870 265457805 281072970 318549366 477824049 530915610 796373415 955648098 1592746830 2389120245 4778240490