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48196440 = 23325831613
BaseRepresentation
bin1011011111011…
…0101101011000
310100200122002100
42313312231120
544314241230
64441003400
71123443255
oct267665530
9110618070
1048196440
1125229776
1214183560
139ca6506
14658842c
154370660
hex2df6b58

48196440 has 96 divisors (see below), whose sum is σ = 158623920. Its totient is φ = 12689664.

The previous prime is 48196439. The next prime is 48196441. The reversal of 48196440 is 4469184.

It is a happy number.

48196440 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48196439) and next prime (48196441).

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

It is a junction number, because it is equal to n+sod(n) for n = 48196395 and 48196404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48196441) 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, 29074 + ... + 30686.

Almost surely, 248196440 is an apocalyptic number.

48196440 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 48196440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79311960).

48196440 is an abundant number, since it is smaller than the sum of its proper divisors (110427480).

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

48196440 is a wasteful number, since it uses less digits than its factorization.

48196440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48196440 is about 6942.3655910648. The cubic root of 48196440 is about 363.9192148540.

The spelling of 48196440 in words is "forty-eight million, one hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1613 1660 1992 2490 2988 3226 3320 3735 4839 4980 5976 6452 7470 8065 9678 9960 12904 14517 14940 16130 19356 24195 29034 29880 32260 38712 48390 58068 64520 72585 96780 116136 133879 145170 193560 267758 290340 401637 535516 580680 669395 803274 1071032 1204911 1338790 1606548 2008185 2409822 2677580 3213096 4016370 4819644 5355160 6024555 8032740 9639288 12049110 16065480 24098220 48196440