Search a number
-
+
248396940 = 2232511125453
BaseRepresentation
bin11101100111000…
…11110010001100
3122022101212112200
432303203302030
51002042200230
640352001500
76104224221
oct1663436214
9568355480
10248396940
11118239330
126b230290
133c600b4c
1424dbd948
1516c19160
hexece3c8c

248396940 has 72 divisors (see below), whose sum is σ = 821974608. Its totient is φ = 60216960.

The previous prime is 248396933. The next prime is 248396959. The reversal of 248396940 is 49693842.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60747 + ... + 64706.

It is an arithmetic number, because the mean of its divisors is an integer number (11416314).

It is the magic constant of a 792 × 792 magic square.

Almost surely, 2248396940 is an apocalyptic number.

248396940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248396940 is an abundant number, since it is smaller than the sum of its proper divisors (573577668).

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

248396940 is a wasteful number, since it uses less digits than its factorization.

248396940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125479 (or 125474 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 248396940 is about 15760.6135667365. The cubic root of 248396940 is about 628.6111506283.

The spelling of 248396940 in words is "two hundred forty-eight million, three hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 125453 250906 376359 501812 627265 752718 1129077 1254530 1379983 1505436 1881795 2258154 2509060 2759966 3763590 4139949 4516308 5519932 5645385 6899915 7527180 8279898 11290770 12419847 13799830 16559796 20699745 22581540 24839694 27599660 41399490 49679388 62099235 82798980 124198470 248396940