Search a number
-
+
45939348 = 223271337379
BaseRepresentation
bin1010111100111…
…1101010010100
310012102221221100
42233033222110
543230024343
64320350100
71065322650
oct257175224
9105387840
1045939348
1123a27a04
1213475330
139696060
14615ba60
1540769d3
hex2bcfa94

45939348 has 144 divisors (see below), whose sum is σ = 147172480. Its totient is φ = 11757312.

The previous prime is 45939331. The next prime is 45939371. The reversal of 45939348 is 84393954.

It is a happy number.

It is a super-2 number, since 2×459393482 = 4220847389330208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121023 + ... + 121401.

Almost surely, 245939348 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 45939348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73586240).

45939348 is an abundant number, since it is smaller than the sum of its proper divisors (101233132).

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

45939348 is a wasteful number, since it uses less digits than its factorization.

45939348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 45939348 is about 6777.8571835057. The cubic root of 45939348 is about 358.1472402880.

The spelling of 45939348 in words is "forty-five million, nine hundred thirty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 333 364 379 444 468 481 518 546 666 758 777 819 962 1036 1092 1137 1332 1443 1516 1554 1638 1924 2274 2331 2653 2886 3108 3276 3367 3411 4329 4548 4662 4927 5306 5772 6734 6822 7959 8658 9324 9854 10101 10612 13468 13644 14023 14781 15918 17316 19708 20202 23877 28046 29562 30303 31836 34489 40404 42069 44343 47754 56092 59124 60606 68978 84138 88686 95508 98161 103467 121212 126207 137956 168276 177372 182299 196322 206934 252414 294483 310401 364598 392644 413868 504828 546897 588966 620802 729196 883449 1093794 1177932 1241604 1276093 1640691 1766898 2187588 2552186 3281382 3533796 3828279 5104372 6562764 7656558 11484837 15313116 22969674 45939348