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46148396 = 22722329353
BaseRepresentation
bin1011000000001…
…0101100101100
310012211120200212
42300002230230
543303222041
64325041552
71100153300
oct260025454
9105746625
1046148396
112405aa78
12135562b8
13973a258
1461b3d00
1540b88eb
hex2c02b2c

46148396 has 72 divisors (see below), whose sum is σ = 101697120. Its totient is φ = 18213888.

The previous prime is 46148393. The next prime is 46148413. The reversal of 46148396 is 69384164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46148393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130556 + ... + 130908.

It is an arithmetic number, because the mean of its divisors is an integer number (1412460).

Almost surely, 246148396 is an apocalyptic number.

46148396 is a gapful number since it is divisible by the number (46) 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 46148396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50848560).

46148396 is an abundant number, since it is smaller than the sum of its proper divisors (55548724).

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

46148396 is a wasteful number, since it uses less digits than its factorization.

46148396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 46148396 is about 6793.2610725630. The cubic root of 46148396 is about 358.6896706008.

The spelling of 46148396 in words is "forty-six million, one hundred forty-eight thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 23 28 29 46 49 58 92 98 116 161 196 203 322 353 406 644 667 706 812 1127 1334 1412 1421 2254 2471 2668 2842 4508 4669 4942 5684 8119 9338 9884 10237 16238 17297 18676 20474 32476 32683 34594 40948 56833 65366 69188 71659 113666 130732 143318 227332 235451 286636 397831 470902 501613 795662 941804 1003226 1591324 1648157 2006452 3296314 6592628 11537099 23074198 46148396