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48344436 = 223271923439
BaseRepresentation
bin1011100001101…
…0110101110100
310100222011002200
42320122311310
544334010221
64444104500
71124630610
oct270326564
9110864080
1048344436
112531a988
1214235130
13a02899a
1465c6340
15439e426
hex2e1ad74

48344436 has 144 divisors (see below), whose sum is σ = 153753600. Its totient is φ = 12488256.

The previous prime is 48344431. The next prime is 48344441. The reversal of 48344436 is 63444384.

48344436 = 4662 + 4672 + ... + 6262.

It is an interprime number because it is at equal distance from previous prime (48344431) and next prime (48344441).

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

It is a self number, because there is not a number n which added to its sum of digits gives 48344436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48344431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109905 + ... + 110343.

Almost surely, 248344436 is an apocalyptic number.

48344436 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 48344436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76876800).

48344436 is an abundant number, since it is smaller than the sum of its proper divisors (105409164).

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

48344436 is a wasteful number, since it uses less digits than its factorization.

48344436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 493 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 48344436 is about 6953.0163238698. The cubic root of 48344436 is about 364.2913277764.

The spelling of 48344436 in words is "forty-eight million, three hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 23 28 36 38 42 46 57 63 69 76 84 92 114 126 133 138 161 171 207 228 252 266 276 322 342 399 414 437 439 483 532 644 684 798 828 874 878 966 1197 1311 1317 1449 1596 1748 1756 1932 2394 2622 2634 2898 3059 3073 3933 3951 4788 5244 5268 5796 6118 6146 7866 7902 8341 9177 9219 10097 12236 12292 15732 15804 16682 18354 18438 20194 25023 27531 27657 30291 33364 36708 36876 40388 50046 55062 55314 58387 60582 70679 75069 90873 100092 110124 110628 116774 121164 141358 150138 175161 181746 191843 212037 233548 282716 300276 350322 363492 383686 424074 525483 575529 636111 700644 767372 848148 1050966 1151058 1272222 1342901 1726587 2101932 2302116 2544444 2685802 3453174 4028703 5371604 6906348 8057406 12086109 16114812 24172218 48344436