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41157480 = 23357133769
BaseRepresentation
bin1001110100000…
…0001101101000
32212110000110010
42131000031220
541014014410
64030051520
71006555440
oct235001550
985400403
1041157480
1121261251
1211949ba0
1386b0650
145675120
15392ec20
hex2740368

41157480 has 128 divisors (see below), whose sum is σ = 152006400. Its totient is φ = 8681472.

The previous prime is 41157469. The next prime is 41157509. The reversal of 41157480 is 8475114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9036 + ... + 12804.

It is an arithmetic number, because the mean of its divisors is an integer number (1187550).

Almost surely, 241157480 is an apocalyptic number.

41157480 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 41157480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76003200).

41157480 is an abundant number, since it is smaller than the sum of its proper divisors (110848920).

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

41157480 is a wasteful number, since it uses less digits than its factorization.

41157480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 41157480 is about 6415.4095738308. The cubic root of 41157480 is about 345.2626439422.

The spelling of 41157480 in words is "forty-one million, one hundred fifty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 3769 5460 7538 10920 11307 15076 18845 22614 26383 30152 37690 45228 48997 52766 56535 75380 79149 90456 97994 105532 113070 131915 146991 150760 158298 195988 211064 226140 244985 263830 293982 316596 342979 391976 395745 452280 489970 527660 587964 633192 685958 734955 791490 979940 1028937 1055320 1175928 1371916 1469910 1582980 1714895 1959880 2057874 2743832 2939820 3165960 3429790 4115748 5144685 5879640 6859580 8231496 10289370 13719160 20578740 41157480