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46248930 = 23257135647
BaseRepresentation
bin1011000001101…
…1001111100010
310020000200121100
42300123033202
543314431210
64331135230
71101052350
oct260331742
9106020540
1046248930
1124119562
12135a4516
139773c40
1461dc7d0
1540d85c0
hex2c1b3e2

46248930 has 96 divisors (see below), whose sum is σ = 148022784. Its totient is φ = 9756288.

The previous prime is 46248911. The next prime is 46248971. The reversal of 46248930 is 3984264.

It is a happy number.

46248930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×462489302 = 4277927052289800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5367 + ... + 11013.

It is an arithmetic number, because the mean of its divisors is an integer number (1541904).

Almost surely, 246248930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46248930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74011392).

46248930 is an abundant number, since it is smaller than the sum of its proper divisors (101773854).

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

46248930 is a wasteful number, since it uses less digits than its factorization.

46248930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 46248930 is about 6800.6565859482. The cubic root of 46248930 is about 358.9499494422.

The spelling of 46248930 in words is "forty-six million, two hundred forty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 5647 8190 11294 16941 28235 33882 39529 50823 56470 73411 79058 84705 101646 118587 146822 169410 197645 220233 237174 254115 355761 367055 395290 440466 508230 513877 592935 660699 711522 734110 1027754 1101165 1185870 1321398 1541631 1778805 2202330 2569385 3083262 3303495 3557610 4624893 5138770 6606990 7708155 9249786 15416310 23124465 46248930