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1954026216 = 233241719323
BaseRepresentation
bin111010001111000…
…0001001011101000
312001011211211001100
41310132001023220
513000212314331
6521521321400
766264643302
oct16436011350
95034754040
101954026216
11912aa68aa
12466496260
13251a9b73c
1414772c972
15b6830ae6
hex747812e8

1954026216 has 96 divisors (see below), whose sum is σ = 5498176320. Its totient is φ = 626438400.

The previous prime is 1954026209. The next prime is 1954026241. The reversal of 1954026216 is 6126204591.

1954026216 is a `hidden beast` number, since 195 + 402 + 62 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a house number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204931 + ... + 214253.

It is an arithmetic number, because the mean of its divisors is an integer number (57272670).

Almost surely, 21954026216 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 1954026216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749088160).

1954026216 is an abundant number, since it is smaller than the sum of its proper divisors (3544150104).

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

1954026216 is a wasteful number, since it uses less digits than its factorization.

1954026216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1954026216 is about 44204.3687433720. The cubic root of 1954026216 is about 1250.1922298500.

The spelling of 1954026216 in words is "one billion, nine hundred fifty-four million, twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 71 72 82 123 142 164 213 246 284 328 369 426 492 568 639 738 852 984 1278 1476 1704 2556 2911 2952 5112 5822 8733 9323 11644 17466 18646 23288 26199 27969 34932 37292 52398 55938 69864 74584 83907 104796 111876 167814 209592 223752 335628 382243 661933 671256 764486 1146729 1323866 1528972 1985799 2293458 2647732 3057944 3440187 3971598 4586916 5295464 5957397 6880374 7943196 9173832 11914794 13760748 15886392 23829588 27139253 27521496 47659176 54278506 81417759 108557012 162835518 217114024 244253277 325671036 488506554 651342072 977013108 1954026216