Search a number
-
+
45673416 = 23331931359
BaseRepresentation
bin1010111000111…
…0101111001000
310011221110011000
42232032233020
543143022131
64310535000
71063134435
oct256165710
9104843130
1045673416
1123866128
1213367460
139601cb9
1460ccb8c
154022ce6
hex2b8ebc8

45673416 has 128 divisors (see below), whose sum is σ = 138240000. Its totient is φ = 13919040.

The previous prime is 45673409. The next prime is 45673421. The reversal of 45673416 is 61437654.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127045 + ... + 127403.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 245673416 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 45673416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120000).

45673416 is an abundant number, since it is smaller than the sum of its proper divisors (92566584).

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

45673416 is a wasteful number, since it uses less digits than its factorization.

45673416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45673416 is about 6758.2110058802. The cubic root of 45673416 is about 357.4548259871.

The spelling of 45673416 in words is "forty-five million, six hundred seventy-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 359 372 456 513 558 589 684 718 744 837 1026 1077 1116 1178 1368 1436 1674 1767 2052 2154 2232 2356 2872 3231 3348 3534 4104 4308 4712 5301 6462 6696 6821 7068 8616 9693 10602 11129 12924 13642 14136 15903 19386 20463 21204 22258 25848 27284 31806 33387 38772 40926 42408 44516 54568 61389 63612 66774 77544 81852 89032 100161 122778 127224 133548 163704 184167 200322 211451 245556 267096 300483 368334 400644 422902 491112 600966 634353 736668 801288 845804 1201932 1268706 1473336 1691608 1903059 2403864 2537412 3806118 5074824 5709177 7612236 11418354 15224472 22836708 45673416