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48792080304 = 243211101304981
BaseRepresentation
bin101101011100001111…
…000000111110110000
311122221101220111022100
4231130033000332300
51244411233032204
634225331340400
73345053560662
oct553417007660
9148841814270
1048792080304
1119768948110
129558451700
1347a7734846
14250c13c532
1514087e2a39
hexb5c3c0fb0

48792080304 has 120 divisors (see below), whose sum is σ = 150439081104. Its totient is φ = 14639040000.

The previous prime is 48792080303. The next prime is 48792080327. The reversal of 48792080304 is 40308029784.

48792080304 is a `hidden beast` number, since 487 + 92 + 0 + 80 + 3 + 0 + 4 = 666.

48792080304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48792080304.

It is not an unprimeable number, because it can be changed into a prime (48792080303) 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, 7494 + ... + 312474.

Almost surely, 248792080304 is an apocalyptic number.

48792080304 is a gapful number since it is divisible by the number (44) 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 48792080304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75219540552).

48792080304 is an abundant number, since it is smaller than the sum of its proper divisors (101647000800).

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

48792080304 is a wasteful number, since it uses less digits than its factorization.

48792080304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305107 (or 305098 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48792080304 in words is "forty-eight billion, seven hundred ninety-two million, eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 101 132 144 176 198 202 264 303 396 404 528 606 792 808 909 1111 1212 1584 1616 1818 2222 2424 3333 3636 4444 4848 6666 7272 8888 9999 13332 14544 17776 19998 26664 39996 53328 79992 159984 304981 609962 914943 1219924 1829886 2439848 2744829 3354791 3659772 4879696 5489658 6709582 7319544 10064373 10979316 13419164 14639088 20128746 21958632 26838328 30193119 30803081 40257492 43917264 53676656 60386238 61606162 80514984 92409243 120772476 123212324 161029968 184818486 241544952 246424648 277227729 338833891 369636972 483089904 492849296 554455458 677667782 739273944 1016501673 1108910916 1355335564 1478547888 2033003346 2217821832 2710671128 3049505019 4066006692 4435643664 5421342256 6099010038 8132013384 12198020076 16264026768 24396040152 48792080304