Search a number
-
+
4761402880 = 29513173827
BaseRepresentation
bin1000110111100110…
…10011111000000000
3110021211102022211211
410123303103320000
534222404343010
62104245215504
7225664154023
oct43363237000
913254368754
104761402880
112023762503
12b0a701594
135ab5ac470
143325131ba
151cd02608a
hex11bcd3e00

4761402880 has 160 divisors (see below), whose sum is σ = 12380395104. Its totient is φ = 1745780736.

The previous prime is 4761402859. The next prime is 4761402913. The reversal of 4761402880 is 882041674.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5757027 + ... + 5757853.

Almost surely, 24761402880 is an apocalyptic number.

4761402880 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 4761402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190197552).

4761402880 is an abundant number, since it is smaller than the sum of its proper divisors (7618992224).

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

4761402880 is a wasteful number, since it uses less digits than its factorization.

4761402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 4761402880 is about 69002.9193585315. The cubic root of 4761402880 is about 1682.3317583561.

The spelling of 4761402880 in words is "four billion, seven hundred sixty-one million, four hundred two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 173 208 256 260 320 346 416 512 520 640 692 827 832 865 1040 1280 1384 1654 1664 1730 2080 2249 2560 2768 3308 3328 3460 4135 4160 4498 5536 6616 6656 6920 8270 8320 8996 10751 11072 11245 13232 13840 16540 16640 17992 21502 22144 22490 26464 27680 33080 33280 35984 43004 44288 44980 52928 53755 55360 66160 71968 86008 88576 89960 105856 107510 110720 132320 143071 143936 172016 179920 211712 215020 221440 264640 286142 287872 344032 359840 423424 430040 442880 529280 572284 575744 688064 715355 719680 860080 1058560 1144568 1151488 1376128 1430710 1439360 1720160 1859923 2117120 2289136 2752256 2861420 2878720 3440320 3719846 4578272 5504512 5722840 5757440 6880640 7439692 9156544 9299615 11445680 13761280 14879384 18313088 18599230 22891360 27522560 29758768 36626176 37198460 45782720 59517536 73252352 74396920 91565440 119035072 148793840 183130880 238070144 297587680 366261760 476140288 595175360 952280576 1190350720 2380701440 4761402880