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48334080 = 283541307
BaseRepresentation
bin1011100001100…
…0010100000000
310100221121220010
42320120110000
544333142310
64443544520
71124555454
oct270302400
9110847803
1048334080
1125313123
121422b140
13a024062
1465c2664
15439b320
hex2e18500

48334080 has 144 divisors (see below), whose sum is σ = 158647104. Its totient is φ = 12533760.

The previous prime is 48334079. The next prime is 48334087. The reversal of 48334080 is 8043384.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48334087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157287 + ... + 157593.

It is an arithmetic number, because the mean of its divisors is an integer number (1101716).

Almost surely, 248334080 is an apocalyptic number.

48334080 is a gapful number since it is divisible by the number (40) 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 48334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79323552).

48334080 is an abundant number, since it is smaller than the sum of its proper divisors (110313024).

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

48334080 is a wasteful number, since it uses less digits than its factorization.

48334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 48334080 is about 6952.2715712204. The cubic root of 48334080 is about 364.2653139562.

The spelling of 48334080 in words is "forty-eight million, three hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 307 320 328 384 410 480 492 614 615 640 656 768 820 921 960 984 1228 1230 1280 1312 1535 1640 1842 1920 1968 2456 2460 2624 3070 3280 3684 3840 3936 4605 4912 4920 5248 6140 6560 7368 7872 9210 9824 9840 10496 12280 12587 13120 14736 15744 18420 19648 19680 24560 25174 26240 29472 31488 36840 37761 39296 39360 49120 50348 52480 58944 62935 73680 75522 78592 78720 98240 100696 117888 125870 147360 151044 157440 188805 196480 201392 235776 251740 294720 302088 377610 392960 402784 503480 589440 604176 755220 805568 1006960 1178880 1208352 1510440 1611136 2013920 2416704 3020880 3222272 4027840 4833408 6041760 8055680 9666816 12083520 16111360 24167040 48334080