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61634248 = 23131771491
BaseRepresentation
bin1110101100011…
…1011011001000
311021222100021221
43223013123020
5111234243443
610041011424
71345611454
oct353073310
9137870257
1061634248
11318777a5
1218783b74
13c9cca90
148285664
155626eed
hex3ac76c8

61634248 has 64 divisors (see below), whose sum is σ = 133902720. Its totient is φ = 26342400.

The previous prime is 61634239. The next prime is 61634257. The reversal of 61634248 is 84243616.

It is an interprime number because it is at equal distance from previous prime (61634239) and next prime (61634257).

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 125283 + ... + 125773.

It is an arithmetic number, because the mean of its divisors is an integer number (2092230).

Almost surely, 261634248 is an apocalyptic number.

61634248 is a gapful number since it is divisible by the number (68) 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 61634248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66951360).

61634248 is an abundant number, since it is smaller than the sum of its proper divisors (72268472).

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

61634248 is a wasteful number, since it uses less digits than its factorization.

61634248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 594 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 61634248 is about 7850.7482445943. The cubic root of 61634248 is about 395.0093422989.

The spelling of 61634248 in words is "sixty-one million, six hundred thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 71 104 136 142 221 284 442 491 568 884 923 982 1207 1768 1846 1964 2414 3692 3928 4828 6383 7384 8347 9656 12766 15691 16694 25532 31382 33388 34861 51064 62764 66776 69722 108511 125528 139444 217022 278888 434044 453193 592637 868088 906386 1185274 1812772 2370548 3625544 4741096 7704281 15408562 30817124 61634248