Search a number
-
+
5073400416 = 253728291301
BaseRepresentation
bin1001011100110010…
…11111001001100000
3111002120111110000010
410232121133021200
540342242303131
62155232324520
7236503122600
oct45631371140
914076443003
105073400416
112173890907
12b970a3740
1362b11b0a6
14361b2ac00
151ea604b46
hex12e65f260

5073400416 has 144 divisors (see below), whose sum is σ = 15522600240. Its totient is φ = 1446681600.

The previous prime is 5073400403. The next prime is 5073400429. The reversal of 5073400416 is 6140043705.

It is an interprime number because it is at equal distance from previous prime (5073400403) and next prime (5073400429).

It is a congruent 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, 3898966 + ... + 3900266.

It is an arithmetic number, because the mean of its divisors is an integer number (107795835).

Almost surely, 25073400416 is an apocalyptic number.

5073400416 is a gapful number since it is divisible by the number (56) 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 5073400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761300120).

5073400416 is an abundant number, since it is smaller than the sum of its proper divisors (10449199824).

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

5073400416 is a wasteful number, since it uses less digits than its factorization.

5073400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5073400416 is about 71227.8064803346. The cubic root of 5073400416 is about 1718.3028617555.

The spelling of 5073400416 in words is "five billion, seventy-three million, four hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 829 1176 1301 1568 1658 2352 2487 2602 3316 3903 4704 4974 5204 5803 6632 7806 9107 9948 10408 11606 13264 15612 17409 18214 19896 20816 23212 26528 27321 31224 34818 36428 39792 40621 41632 46424 54642 62448 63749 69636 72856 79584 81242 92848 109284 121863 124896 127498 139272 145712 162484 185696 191247 218568 243726 254996 278544 291424 324968 382494 437136 487452 509992 557088 649936 764988 874272 974904 1019984 1078529 1299872 1529976 1949808 2039968 2157058 3059952 3235587 3899616 4314116 6119904 6471174 7549703 8628232 12942348 15099406 17256464 22649109 25884696 30198812 34512928 45298218 51769392 52847921 60397624 90596436 103538784 105695842 120795248 158543763 181192872 211391684 241590496 317087526 362385744 422783368 634175052 724771488 845566736 1268350104 1691133472 2536700208 5073400416