Search a number
-
+
84764928 = 2831937157
BaseRepresentation
bin1010000110101…
…10100100000000
312220111111121210
411003112210000
5133144434203
612224450120
72046330033
oct503264400
9186444553
1084764928
1143936166
1224479940
131473b181
14b38701a
157695803
hex50d6900

84764928 has 144 divisors (see below), whose sum is σ = 245443520. Its totient is φ = 25878528.

The previous prime is 84764893. The next prime is 84764951. The reversal of 84764928 is 82946748.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 539826 + ... + 539982.

Almost surely, 284764928 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 84764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122721760).

84764928 is an abundant number, since it is smaller than the sum of its proper divisors (160678592).

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

84764928 is a wasteful number, since it uses less digits than its factorization.

84764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 84764928 is about 9206.7870617279. The cubic root of 84764928 is about 439.2772708196.

The spelling of 84764928 in words is "eighty-four million, seven hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 128 148 152 157 192 222 228 256 296 304 314 384 444 456 471 592 608 628 703 768 888 912 942 1184 1216 1256 1406 1776 1824 1884 2109 2368 2432 2512 2812 2983 3552 3648 3768 4218 4736 4864 5024 5624 5809 5966 7104 7296 7536 8436 8949 9472 10048 11248 11618 11932 14208 14592 15072 16872 17427 17898 20096 22496 23236 23864 28416 30144 33744 34854 35796 40192 44992 46472 47728 60288 67488 69708 71592 89984 92944 95456 110371 120576 134976 139416 143184 179968 185888 190912 220742 269952 278832 286368 331113 371776 381824 441484 539904 557664 572736 662226 743552 763648 882968 1115328 1145472 1324452 1487104 1765936 2230656 2290944 2648904 3531872 4461312 5297808 7063744 10595616 14127488 21191232 28254976 42382464 84764928