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4405103352 = 2334134312161
BaseRepresentation
bin1000001101001000…
…01000101011111000
3102100222222102210000
410012210020223320
533010201301402
62005040353000
7214106521626
oct40644105370
912328872700
104405103352
111960625391
12a2b315760
1355282bb40
142db086516
151abae5c1c
hex106908af8

4405103352 has 160 divisors (see below), whose sum is σ = 13597602480. Its totient is φ = 1323786240.

The previous prime is 4405103347. The next prime is 4405103369. The reversal of 4405103352 is 2533015044.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 356152 + ... + 368312.

Almost surely, 24405103352 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 4405103352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798801240).

4405103352 is an abundant number, since it is smaller than the sum of its proper divisors (9192499128).

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

4405103352 is a wasteful number, since it uses less digits than its factorization.

4405103352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12235 (or 12222 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4405103352 is about 66370.9526223633. The cubic root of 4405103352 is about 1639.2758244327.

Adding to 4405103352 its reverse (2533015044), we get a palindrome (6938118396).

The spelling of 4405103352 in words is "four billion, four hundred five million, one hundred three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 43 52 54 72 78 81 86 104 108 117 129 156 162 172 216 234 258 312 324 344 351 387 468 516 559 648 702 774 936 1032 1053 1118 1161 1404 1548 1677 2106 2236 2322 2808 3096 3354 3483 4212 4472 4644 5031 6708 6966 8424 9288 10062 12161 13416 13932 15093 20124 24322 27864 30186 36483 40248 45279 48644 60372 72966 90558 97288 109449 120744 145932 158093 181116 218898 291864 316186 328347 362232 437796 474279 522923 632372 656694 875592 948558 985041 1045846 1264744 1313388 1422837 1568769 1897116 1970082 2091692 2626776 2845674 3137538 3794232 3940164 4183384 4268511 4706307 5691348 6275076 6797999 7880328 8537022 9412614 11382696 12550152 12805533 13595998 14118921 17074044 18825228 20393997 25611066 27191996 28237842 34148088 37650456 40787994 42356763 51222132 54383992 56475684 61181991 81575988 84713526 102444264 112951368 122363982 163151976 169427052 183545973 244727964 338854104 367091946 489455928 550637919 734183892 1101275838 1468367784 2202551676 4405103352