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46073440 = 2557311327
BaseRepresentation
bin1010111111000…
…0011001100000
310012200202212201
42233300121200
543243322230
64323302544
71066421620
oct257603140
9105622781
1046073440
1124009726
121351aa54
1397120ba
146194880
1540a15ca
hex2bf0660

46073440 has 96 divisors (see below), whose sum is σ = 128507904. Its totient is φ = 15275520.

The previous prime is 46073437. The next prime is 46073459. The reversal of 46073440 is 4437064.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 46073399 and 46073408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34057 + ... + 35383.

It is an arithmetic number, because the mean of its divisors is an integer number (1338624).

Almost surely, 246073440 is an apocalyptic number.

46073440 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 46073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64253952).

46073440 is an abundant number, since it is smaller than the sum of its proper divisors (82434464).

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

46073440 is a wasteful number, since it uses less digits than its factorization.

46073440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 46073440 is about 6787.7418925590. The cubic root of 46073440 is about 358.4953661770.

The spelling of 46073440 in words is "forty-six million, seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1327 1736 2170 2480 2654 3472 4340 4960 5308 6635 6944 8680 9289 10616 13270 17360 18578 21232 26540 34720 37156 41137 42464 46445 53080 74312 82274 92890 106160 148624 164548 185780 205685 212320 287959 297248 329096 371560 411370 575918 658192 743120 822740 1151836 1316384 1439795 1486240 1645480 2303672 2879590 3290960 4607344 5759180 6581920 9214688 11518360 23036720 46073440